{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "earlier-methodology",
   "metadata": {},
   "source": [
    "### Histograms with Plotly Express"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "becoming-nutrition",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df = px.data.tips()\n",
    "fig = px.histogram(df, x=\"total_bill\")\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "suffering-interstate",
   "metadata": {},
   "source": [
    "### Aspect of the histogram plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "heavy-modeling",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df = px.data.tips()\n",
    "fig = px.histogram(df, x=\"total_bill\",\n",
    "                   title='Histogram of bills',\n",
    "                   labels={'total_bill':'total bill'}, # can specify one label per df column\n",
    "                   opacity=0.8,\n",
    "                   log_y=True, # represent bars with log scale\n",
    "                   color_discrete_sequence=['indianred'] # color of histogram bars\n",
    "                   )\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "sustainable-correspondence",
   "metadata": {},
   "source": [
    "### Several histograms for the different values of one column"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "former-august",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df = px.data.tips()\n",
    "fig = px.histogram(df, x=\"total_bill\", color=\"sex\")\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "diagnostic-cargo",
   "metadata": {},
   "source": [
    "### Histograms afford the use of patterns (also known as hatching or texture) in addition to color:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fitted-lincoln",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Fvj67rKO3LrBLVINjEH9Y0pN4O1XgQO+oZ5vwgN1jq7Et7Ulsmid7S7aYvr7c3ytxlIL80p7YDvWs64Za4KzTPu65SazFiu90rsO7Z6/Zjp10jg57zJ4V2YL5Yc/VsyZHAQFvQd0FvAUF1HIpUGIFHPACWK/EluZgATOc3ZCfzpFmX5qDrdhLcWTALrlUX+sxB7t0KtgaR9ZnZif3+vvsOtjdkA9O4M90jQhxhIFd+vpuqlcMEHVZXwZajObQArtsiANagWRgF0j2bTTjHNvrmUP7epLBLud8RwDslr0WwC4DRTbXKsaQkMmqRfWGzs3w/vK3sf2vW1Av7PEnZ1Ts//rzatiTp9iz3MS1tWtWpiOUy/oQ8BasrIC3oIBaLgVKrADAS4yB7C09YXcwAIHNVD2xzfLEGJAFGHxwsJICIcMo6Djga3fFOmDwiVrm7k0zs1MDJqixjjjCM3n8gW4MwK6vZZlbx2QxYgxcs+vPC2j74gjb+SIwmE1QYxhFCOy6DWqP1Sq2J45S9zkEdrulFpvrURoNoZ6TWYv9HdylYSKBl4EVF3z+6oM+CYcbe9yuj8rxBl43nviznzp3aAgHo5AnewqdgLfgK0jAW1BALZcCJVYA4H0zNnuolsUYcHbp0eprPeZg96Ecdml3dUqvP/7gYPcpnNZaxXrM7LS+epAjDBw9ByTXKymkA7uLArs4ALvEGHAWAU82toXALt0YcL1fy2MMIbDLte1JMtcb2MXZJRri68aQutddUgtgly8edP545yTWopMnrU008F53wy12/dVfsMNmzZzwT8R2AO/6B560V197wy7/3Pm2ZPEiE/BOeFnH/4QC3vHXVEeUAmVRgElr9w5kzu5coLXPv5mqEXYBSTZfnd5bTx3h0dzSorDLxDZiBQ522fzFD7SjnRNI5hoBLCINrbiJZG9xaB3svisgs+s6XPBFwMEuUDfDE2NwmnZLLYBdIjNHk58OcNnbVQsBb9gnGQ7vaMDrHFOO9tGz19pXL7/Qpk/rs3+44RbbvnO3vbB1pz321CbDFf7G3/w3++db7rBbf74+/fMN11yWAiePxuPw55u/cYWdtnq5DQe8ja7zqhXHtQTjnGfzi9vtmKOOSP/3ixefNyzwcv3f+f5t6bU1usFhqrX+LDm8rWt20AoBb0EBtVwKlFiB+y/8sO3MYfe0gHHBDsxcjOEQMzujv+7tOOBgd0MtSje3tersbqpHaRaWDWo4uyGwS6yAqAUOLYCFs3tcAGABrbQQeyifoEZm9/iAbgxuKt19gxXbi7ObD+rwZX2dpr8bqHRNLfgSsJg2cB7YbXctBLxhH26jAS/weMtP7hoCTiARkCRry/+/9+ENB/3bbb+4Zwhy+XceACdQ+6+3/tL+7KN/ksJy43Gn9ffbV669yVyGl+u58qobh47jAJbjhDzc8z9z/keGYgxzZs88KNLAc3CBgXcenP+I+XOGIhAh52n1OQLeVhVrer6At6CAWi4FSqzArReck2Zv39sXezsOODDDvcQ1BXbP7K97N2852H06z+w2wm4U4NDSxYHsrYNdIgLkd33ZW7oxPFrLNqjhJhJjCAEsOlXcm2d26bN7Qq/fheQe34jN7m6AXSIe9Of1ud7AOLCLyz5RtSA/zYaxyapFOhgkAHbbXQsBb9iH23AZ3r/90oX2kQ+sPQhEORrP/eFP7kpB8frv/ngIaPk/jRDpoNZBJX9ufGzcstX+6qob7WtXXmSLFsw76DyNoMwannvtN39gV335oqDIRSMgDwe/zedz99XuWIeAN+z1OOKzBLwFBdRyKVBiBX7zmXPsrP56Cma+B2DWDLszIE/Pg1gBsEuGlp+vW8nsMlSC4RBR7uyGbFDD2WWjGeOCOTewS/bW12fX9SD+7UDV6Cl8TOC4YG6fuMSdB6rpKOZFlcRwy3sDNXWwS2663bUA/p/MXXbwottrIeD1vXuzfx/J4XVRA+IJjQ8Xa2gVeAHXi790nW3b8XJ6OBd5GA54XdTAnbeVWEMj8LrsLpEFjkmm153vkx87K41UjAWqw5Q9+FkC3rGo1rBGwFtQQC2XAiVWoOeSdV7YBQQHzIwWYozwpa3W2j5/jIF1jKhlghpxBGD3lIBuDKyj2RIusoNdWp35+uyyLrZsEpqDXWIMZG9DYffugawbAwMsiE70eKCVcwLHvx7IYJcJaqcHwC7r2ED3wGDFtsWRzY4SO7M/c4RHexStBR0u0s4YkdnJPXVbUDXzTc8rcy0EvGEfbj7gbQTDxiM2O7GjObxbd+xKYfeqKy9KIdPn8LrYRNgdHPys5giEuy63iU0O71hUnQJrBLxToAi6BCkwRRUYbrRw46UCWPSeJVKQwW5i76aLg2eDmgMzuiqQ2QXkVvX4++yyrmbZQAIHuysCJqgNB7uhE9Scs+tgF7BeHQi7ryVm9+Qb1FqBXSD5kXyaHTGGtX2xTfe45eNRCwe7q3vr5hsM0g21EPCGfTC1kuFtzOK24vACvC7CwCa2xpxuM4A2Z3i5i+/96Gd27tlr00hDyCY7t1mNtbi8l17xddu1e+9BuWCXTXYZYmV4w14vk/YsAe+kSa8TS4Epr8BowOvcS9xZYHdmlLme9NkdLZeaupe5swtgMUGNTUpp9nYUB7MZsBgX7Loq+BxaogvO2SXSsKQntmVkdgMcU3Ki6wezGEMrsPtq7tAyqAPYDYkxcI+vJ5bCPKOb50SJrQnYLDhetWAD3YmBzm7jF4+y1kJ9eMM+okIA8q+vuWnoYOR73aY1/tJtJvNleBu7Iqxafmx6vOEyvPx9c664sYtCs7PcfJfDbXLj77753X87qGuEujSEvT6mzLMEvFOmFLoQKTDlFBgJeN0ABEbpbqlFRp9d+vP6hko0wy7tuIgV+LK3b4Ndpm9VY0s3N3mgFcDdkccYWoFdNxzigbwbQ2iMgXV7cWgHs6l0wC7Q6svsupZlfIFgQ93cSvYFgrZuvi8QxCzGoxYrxuCyYzyXtRa9mrQ25T6Til4QDvO11//A/uITHxxqd1b0mBO1XhnegkoLeAsKqOVSoMQKDAe8Dnafq0e2pVZJYXdlwLhgB7uM78XZnR4xcCHJWoh5oJXNVLQQw/lsFbDYoEYLMVzepYHOLtBKb9dHBqtGLAHYZUqczxF2I5i5TmCXDWpAa39AHAFIJhqyM4fdEwMGfIx3LRjUMZrLzku9m2px8nfuaOu7e9Hc6W07/iOPJ/bTO8NHC598YsU+9P6AXaZtu+KJOTDZ3+/96D/s8kvPT9ubddJDwFuwWgLeggJquRQosQLNwNsMWLMq2ZSwkLynizGQ2XWwGwJYgCqRCfrl8tM5jnCos4tT+nCtYoAomV02qIVAKxPUgNZ9cWSLq7Gt6g1btzumy0EOu9VsBLOvzy6aArsMv9iRT7Mj4jE7IBqCs+u+eKgWb70RnTtftBbrbr69re/udgJvWy9cB58UBUoBvC4QzaQRHs3tM5pbe7j8i1O8eb2bPuL+faQpJ/y7gHdSXrc6qRToCAUagReIwO2kq8IL9Yq1AliAGS3EcHZn5M5uCOzSqeAPtcieqGewC1zTL9fnCNMGjAysGypB1jekGwOt1V6qm22oZ7BLn90VvYm3OwKuJ8MoaK22Ox8XTLsz3wQ1YJ6MMHEEnN35lSQFemB3NKe1W2qxo272zCTW4qSbOtfh7YgPGF1kSwqUAngJV7+4dWca4ubRHNxuDFg7uL3s4vOGHanX2KrD7WRsbIbcHNYW8Lb0etOTpUBXKeCAd8iFHMymfYXCLmK9Hmc/1eO2AoBAayjsPj0Y2WZg1yyNTRAtCIHdjbXINtUqafsyzhfSZxfYJTYBlGd9dmNbFjBBDdjdno41jmxfEqWb7wDsQzzZW2CX2ASZXcYMA7vH5zEG3+a91BEueS3Ihm+sV9L2bJNVi/4OzvB21QdVl9xsKYC3uVaNOx75tyv/7sa02bGbJ90Irc0TRJpnSjeO8eNYzbspBbxd8k7RbUqBMSgA8Lp2V/zET+9bOgfQCswXY+B0wOBjg5FtqpP1pRuDv/UY64BBesICyvTnJc/q67Pr1qWT1wYrDF5Lh0owLtgHyTimW4kj5N0YjqvGtrQn8U6Xc1lfnGTGBR9VzRxaehH7NprtScyeGKzYS/nGNiA5JMZAG7iy14IvHsQRgN3JrEUnd2kYw9tdS6a4AqUEXiB1+87d6ei95t5zzQ7w4xs2WfM4OwfEl376428b69fsAAt4p/grXJcnBSZRAYAX6ADMgF02qDHkYZ7nJ3cHu0ztwmklx3pSQLsrB60b69nkNWCbTV+4pj5odVlfHFPc2qFxwQFdHLbGuUMbR3ZsNXOEfdlblxMFytmgxjWGwi4tywA6YgwLcmd3dsCY4W6pBZP3Xo+jdJMhE+0mqxad3Id3Ej82dOo2KVAq4HVZ28YM73AzoBsjDwCvm0vtdhw2A2/z+LvG5s379jPrSA8pIAWkwNsVePO/vD9tr4XjBuzSqcDXeszB7hMNsMsEtRBHGGhlGMVz9Qx2OZ+vZZmDZDa2Acnkd4HdxWxQs9GdVqCVSWYbcsBqBXZfiS3NCAO7XGMo7JKDfqxWsZfyzC5uOWODR3OEuUcgvptqAeweV03SPs2jaeM6Y7SjFtXv3tnWj4WZ0/n9Qg8pEKZAqYDX3XJj7GD3nn0HTRcZb4d33xu0D9dDCkgBKfB2BX73f35gCHZP6Y3tsEBn9/FaZJuZoGZmp/XVbW7AumbYxdkl6xvi7OI+0+UAKKTDwVE9SRqF8IESLcuerFXtjdiCnV1AnDjCo/kENZxdcsK+zK7rcPFwHmMgs4tbTtQjBHYfavji0e5aEEUhB+2+eEx0LUJht921qN58V1s/FmbO4CtZex77Xkts/5uJDQyYvf6GpV8gR3r095vNPSyyQ2n6rMeUVaCUwMvGNJfbnTN7pjK8U/blpwuTAuVW4N8vOCcdfHB6b907LhglAKVG2F3bV/d2HGAdsEuM4dmGGEPan9cDraxrhF2c3aMDYZdhFI/nmV0mr+EmTgvI3hJHAD7ZaAbsAti+bgzc4/7Y7P7Biu2KIzs878/ry/qyDojnfNznRNSCGrIBj9y1i5RMdC2IlPR7au8GdbSzFp0caXh+S2z/+47YHnsqsTge+XPqnYvMli2J7Oh3Rva+tbzjOu/RvHep8+4g7IpLAbxEFI5aND/tusCDP7sZzcx9VpeGsBeDniUFpMD4KvCrC86xM/rr3mlfI8EujrDPvQRaN9WjtFsBO81wE0MAi5+yiVq41mOAZ2iMgT67DJWgGwNuIhvUcKN9G82II9w3mG1QO7KSpJvpfPlStCFm8buBt2B3TW8YJAO7D+bO7iFmE1ILNgvi7EaqhXUy8D7+VGzf+NbogyeOXGi2fGlk+980O+SQyP78/xgb8DaP8eU1v3DB3IPG8I7vJ9PBRxtP4G3ukuXO5BtH3M77c8cuBfCS0734S9fZth0vp/elPrwT8dLROaSAFPAqcPG6IKDDFSSz+3weY8DZDYXdtKtCA+zimtKGzBdHoM3Zo7VK6irj7KbDKALW0S+XccF0O1hSje34Xn/8AZ2IPdzdALvECvoC4gjA7m8GKvYyzm6U2Hv6Yq+T3OzsArtn9tfbXgucXXLQ6E9+uttr0cnAe9dv6/b/3jK8tct7a+ECs+OXRPbmAbMnnk5s9aqK/Zc/HzvwNm+e9362jOMTxhN4uazhuls175Uax8sPPlQpgDf4btvwRHVpaIOoOqQUKIkCw40Wbr41gJNuDExQ42foVmCXGAPZW+cmhmxQw9kle/tgPi4Y2A3ps8tP4Gw0Wz9YTTtPALsrAyaoOYf2zgNV25dYOi74tL7YegPijg52d8UVmxfF9r7+DJJ9j8YYg4PdGQFTX4vWgnZuIM+pvXU7ojr68Avuoey1KCPwVipmR8w3e9dxkR0YMNvwTGJ7XjU784z2Ae9Iw69cR6oXtu40Bm/hCn/jb/6b/fMtd9itP0qfY3oAACAASURBVF//Npe48Ti8/tyQreGAt9F1bjYRfe+/xm5WxEovveLr1jz7gOvj0TgIbKTr850v9N8FvKFKjfA8AW9BAbVcCpRYgdGAF4Ckx0v6E3itkrqWa3r9G9RYxw+trl8uHMfmLV+fXdbhV+1sgF06I4RMUHOwe0/u7NKN4cQA2GUdsYdfD2Swu7CS2OkBsOt6F9+bD4eYGyVBsMu6AaN3cSUdp0zGly8QZHd9cYvxqAWwO+TsjgLm3VKLTu7DO5zD62B36bFRupnt6ecSe2Vv9gHWLuAdLqJ5zFFHpIO2AN57H95g11/9BXPxzdt+cc9QFKIxRgDU/uutv7Q/++ifGB2pGo87rb//oBaswO6VV904dByeu/nF7fbFi88L/rR20YaTVi6xnbteSdc6sD5i/pz0z437rTjwtd/8gV315YvSewGan3v+9/bhs04PPqfviQJen0KefxfwFhRQy6VAiRUYCXgBHvq7sJOf7C0dEWg9tsDjCjrYZQMWwxNwdulwkMYRPIDFJnMmk90/WE0zsUursS0PhFZg9e6BqjHimGlt5IR7PE6rg1ZiDIwLnh8ldka/39llHQ7yA4OVtOXZ7CixMwOcXQe7T+XREDbCsVkwZBjFeNUi9ItHt9Si/q2ftfXdvWju9LYdvxl4qxWzBYebLQF2B82e3ZjY7j1vnb4o8F7w+asPuhecz498YO3bZgEAoy4ecP13f5yucSDanJ8dKU/LmkYXdtGCeQedpzlvO1x7V5/wbqotz3NA3jzHgH9z8Qf2YTVCtu/4Y/l3Ae9YVGtYI+AtKKCWS4ESKzAc8Dpn9/kcdvmJflXABDUHyX9ogF160IaMC3YTzYBdfu5n+taKMcAuLvLqQNh9PXmrqwKw+0eBsIsj/EitYtvqkR0WJba2L7bpnjiCg2uyzDi7tDjjCwTt3EKcXdXi7W9C584XqcXy79zR1nf3RAFv6uw2wu6mxHa/cvCtFQXe4TK8zhF1P/+7M3707LXpYK1Wgbd5v5PbGDcc8H7n+7cddIOtxhpY3OwMN5/fncDFGhojDWM5n+/FJuD1KSSHt6BCWi4FuleBZuB1LuTmfHMTsEt3hHRzk8ehxYV0sFtJzBile0zg2F/n7LYKu3vyzC4Q2grs4gjTL5cWYvTLZaOZL7OLNkAyzjWwywjmNX1h/Xm5PpzyDHazAR++aXaqxcjvy/Gqxbqbb2/rm38igNfFGJYckzm7z21K7OUm2OUm2wm8jcOvGgVtdmJHc3iZOsvm/quuvCjtaOVzeF1sokgBhwPextjCaMduR1cHAW+RapqZHN6CAmq5FCixAo3A61zIdKJZPdugRhzBt9HMgRkQCAxidi6r+mMMyMomrN15jKEV2GUdsEs3BiA0NMZAi7RX6c9by2CXsb+n9sY2zePQ4kADyWzA4z7n5n12fdlb1hGzIAO9JZ9mh+s93zOoo1tqsTefZjdZtXjPP3W2w/u9H8ZpNwYyu2xQe3YYZ9d9fLUDeJ1L2thmtTGL24rDC/A2ToltzOk2O7zNGV6u43s/+pmde/baNF/bONyLP4/0aAbe5gwv61xWd87sQ9PDuPayAt4p+B9GAe8ULIouSQpMEQUc8LopYWR2twC7UQa7OLu+SWjkWTflG9t4bijsArjA9YbBSro5jq4KITEGYBcnGfh0mV0cU19mF9hlQ9wzgxV7JYnsiErmtPr67LIOKGdoxktxBrv05/WNCwZ296ZDHiq2PYfdlYHOLvdV5lpQwx31zPV+dRJr8Y5vd3aG9xe/irNuDAfMnmnK7DZ/xHzk7Ir92Z+2py1Zc/cCFwFoxeFloxrPd1GFVcuPTW/ha1deZM3Ay9839wb+7KfOHcoKh8LocJvdmmMaLlbBORvby7rYBtc9Xg85vAWVFPAWFFDLpUCJFQB4nUNLNwbgjM4BxBFwdn2w68YFMxxiGs5uwAY15AQGX6gTK8j+Axy6QY11W2OzRweqdsDMjqnGtiog6+sywk8wQS2J0tZjbOAKGRfMmGHWAbvEH4h4hGw0Y4gFmV2GZwDJfIE4PMDZpYtD2WvBFw+m4Lk2cJNVizc7eNPafQ/V7ZlnE9t/wOzpZ9/qxjDcx9Wcw8w+9uGK/fEfjQ14O+kjEGC99vof2F984oO2ZPGiTrp0E/AWLJeAt6CAWi4FSqwAwIvTikPLQIJWnF1gl5/pgV0yuwBdaGaXoRLECnCH39UT27KexOvQAq2A0pO1iu2LoxR2cYR9fW9ZxzAK59DSemx5bxzUCowxw+jiYgz0BAZ2fXnmNMZQj2xLrWKzAmGXl1m31AJ3ns4Y/ILAlyRfNMSNGR7vWnRyH97fb43tkccTe+HFxF57Y+QPqUNnmh25MLJjF0d2wvKAZs8d/nlHBOF7P/oPu/zS89P2Zp30EPAWrJaAt6CAWi4FSqxA/yXrzE3fAnYBupAYA7BLn13gE9jlp/qQbgysA3ZxPpmE5mDX5yQDrTviLEPrYHdZb5LmjH0T24BdfjoHsBhpjHsdAli4j6wDdudVsnVMl/PBLhvUyEC/UItagl206aZa8DpD0xCXvV216GTgLfHHUtfemoC3YOkFvAUF1HIpUGIFNv/XD6XOJ7B7QkA3BqQAzDblGVpLLM2z+oZKuHUuewvs4uwxQc3XHaEZdhkqsbQn8Y7vdc5uI+xyzkMDhjy4OALZWxdHCIFd7gsoJ5s8K0qMDWq+GAPakGl1MYZuqIVzdonP+NqytbMWAt4Sf7h14K0JeAsWTcBbUEAtlwIlVuCnF5xj/Oh3cm/dFgaMmgV2GRfMT8v8zMyAh1BHGNgFPh3sMoyCgRY+h7bR2QV2gWTfRjNgl41mOMmv5D+dLw2EXbo+4Fw7ZzckxsBLhHgGWV+GbhwaZRlhX+sxB7tP5/npiaoFQE7niMmqBV88QmC33bUQ8Jb4w60Db03AW7BoAt6CAmq5FCixAndecI6dGjBBzTm0z9GNoZ7BLh0OfC3LGp3dRtgl6wvc+WCXzC7QSoyhFdh9JW93BexyjaGARRzh0byrAjEGXO9ZnhgD90j29pHBbIMasIs2cwLW4exuqEW2sVaxHrMJqUXadq5WSafZoUs310LAW+IPtw68NQFvwaIJeAsKqOVSoMQKvPaX64JcSNeNwcEuzu6iwC4OLrOLA9oKYL2UQ+trLcAuIE5XhUfpxpA7u2ym8+VEKfGbsdlDDbC7KqD1mIPdhxpg95Ref9bXObuMGd6Uw+5pffW21wL3mcgFgK5amAl4S/zh1oG3JuAtWDQBb0EBtVwKlFiBaZesG3UTlnNoiTGQ9XUxBjZ/0eBoNIcWSAawcBP56dxNXgtxdpm89litYg523xWQ2XU7+YFPB7u0EJvhyYk6aL13oGI76LMbJXZKn39jWyPscp9shDu9t546wqPpUhR2i9TCwS4xjaMCXfYy10LAW+IPtw68NQFvwaIJeAsKqOVSoMQKNI8Wbr5Vt0GNOAIb1HB2Q2CXDC0/79OyzLmJxwVkdoFWuio8lE9QI8ZwfEA3Btaxuem+wYrtxdnNh0P4sr4OWn83ULGdOeyeFjAu2K17MHd2DzGzM/rr3u4PDnYbYwytOLtsFixaC74ELKYNnOcLSzfUopOBN9m9y+rbXgj+dKocNs8qi44Ofr6eOPEKCHgLai7gLSiglkuBEiswGvC61mNkaB3sskGNTp6+7C0xBrKwZFRpPUZXhRDAYlzwvYPVdIIafXZP6PVvbKM8b8RmdzfALrEC+vP6nFZgHNjF2T0sSuy9fbG3+0Ozswvsntlf926kc7DLBjU2jKGHg90owC2nDVzRWuDsslnQ586n0ZAuqMVABw+eGPjZj+2NG/8++NOp74P/2Wb85eXBzx/vJ9Ift3F08HgfvwzHE/AWrKKAt6CAWi4FSqzASMDrhkowHCLKnd2QDWo4u9tjswcHq2n7MgCLrgq+PrsAFr1WfztQNTaOHVPNNn75xgVTGjZf3XngraldOLS+VmeNzi6wy5jgs/rr3iEWI8HujIB+/sD/k3lml+4UrTi7DPhQLd7+RuQLCxEWIiXui0crtVj6jz9t67t70dzpbTv+RAKvG+PrRga7m3IjhZv/fribHk/gbRz/e/M3rrDTVi9PT8l1/vAnd9lXL7+w44ZOcP0C3oJvFwFvQQG1XAqUWIFm4AU865Zlbx1g0V7L12eXdbFlk9Ac7LIpiuxtKOzePZA5uwywIDrhg13OCRz/eiCDXSaonR4Au6xjA90DgxXbFkc2O0rszP7MER7t4UYwPzaY9dmlrdbaPn+MgXWD+bhgnF0yzKcEdMZQLUauxnjV4kM3397Wd3eZgPe6b/2LzZ4106768kV22KyZ9srefXbl391oe/bus/P+9P32iXPPHFXLdgDvEfPn2Padu4cAV8Db1pfz1D+4gHfq10hXKAUmS4FG4AUiamZGv1wHuwxO8E1Qc2BGVwUHu61MUCN762AXsF4dALs4yfRovSffoBYKu6xzrcfos0uMYW1fbNM9Di33yMY7IgUZ7Cb2bro4eDaopXBtZhvzGMO0yOzEHn/PY9VidNgdr1r88T8JeEM+exxInrRyic2Y3p/CLe7uG/sP2KNPbrS1a1YOAe8/3HCLfef7t6WHXbhgrt1wzWW2ZPEiGw54nUPMcz969tpgZ9Y5vP9p3R/Z//7Z7+yTHzsrdXmbgRcov/SKr9tjT21Kr6fRDQ6574l+jhzegooLeAsKqOVSoMQKOOB1YLY5H4BAxtN1VfA5tPysjCP81GAldXmX9MS2jMyuxzEl8rC9Tguxqu03S13kENhlHXD9OJndJEqd3ZAYA7BLf146FbBBbU6U2JqADWqse5VJaIMV2xpnfXZxoOmzGzIlDNh9oV5JM77A7gLPgI9uqQWbE/kC8fIk1mLWjT9r67u7TA4vUYEv/OUn7evf/mH6v9//8c/tUx8/O/2zA14A87afr7e/+MS6VFfg1zmwW3fsOijDC+ze8pO77Pqrv5A6xjz3mKOO8DrFHNcBL6DLw8UYHt+waej/8/dfufamoWsDuC/+0nV21ZUXDUUg2lr8MRxcwDsG0RqXCHgLCqjlUqDECgC8zk0EzJgwhgu5rJpvbvJAKzC4pZ51VSCXGgq7Lut730A1jVCExhhYB+xyPuIPiyoZtPoyu9zjK0kGybviyA6vZNBKKzEftBKXeDKHXRxh+vP6hkpwPq6PccHP1yvpOOMVLTi7Za8FU/AY1LEnmdxavKlNa0Gfbo3O6b//Yr3dcdd99uGzTrOPfGDtQVDZfDDWXXfDLSnU7t6zbwh4Fy2Y97Z1rcQRGoH3xOXHpcdqht9mwHYAzv9+8eLzgu57op8k4C2ouIC3oIBaLgVKrADAy2YqWogRY+CX/VZglw1qwCeuK6N7Q5xdoJXero8MVtNWYsBuyAY159BynUxQA3aB1v6AOMLeFD6zccFz85ZlbFTzwS7Q+lw9si01oDWxlQHjgp1D+3weY5geJba8J0kHdVQ8XyC6pRY4uzvrGeyi6WTVopPbkk30pjXnogKS137zB2mWd1p//7DgesHnrx761Fy14rgRgffWn68/6NM1NNbQCLyNUQYXcWDTWuN14iDzwFXe/OJ2AW9Z/5sm4C1rZXVfUqC4Av2XrEszqfTLreTTt9K2VQHOLq3HHq5VDBAls8sGNV+MwTm0QCvjghdXY1vVG7YOVxAHOoXdajb219dnF/gEdtMYQw679KGdHRBHaITdWRWgNbbDPeOCHexuyscFtwK7fGnollrsqEc2P4dd3O9WvniMZy0EvGGfISO5rw48XaSB51151Y1DuV2fw+uyt2FX8dazmoHX/blxE5sc3lZVLcHzBbwlKKJuQQq0SYHtF31oCHYBumMCYBcwcxvbyO+S9Q3pxgDs0sUBaAV26bO7ojfxdkdgHXlPoHV3Pi6Ydme+CWpuzDDOLoCFs8s6YHc0p9XFEZyz2wpgDTRsUJvRgrPr2sC5Lx5lrwWwu3wMzu5410LAG/bB0grwuggDrmpjTrcx0sAmtuYML9D6r7f+0v7so3+SXlRj/rb5KpuBl393rdOcS+yOAQQTYVCGN6zWHf0sAW9Hl08XLwXaqsB/fOac1NnlZ2VfNwYuxI0L5idpYBcwC+mzC7TuyKHVwe6ygAlqDnaZLuZgF8A+JMAVxNllnXMTcaEPC4Bdujg8U6/YC7XIQgELbegH/Gzu7ALjaBMSY3ADPvgiMFG1oB0b+eLJqsXxvbHNDqhhu2sh4A37eAkF3sb+uBz5faevsr37Xn9bpAHgdRGDv77mpqGLcP18fS3MhgNe93cczPXhVZeGsPqW5lkC3tKUUjciBcZdgZ9fcI6dGNBntxF2cVqBO9xSxgWHxB8aYZdxwUxeY3Ocb2Ibzm4j7NLbl/63vp/AG2MMuIlAMi3EfM4u7a64P6IFs6LEaMvmizGgDdlbNy4Y2F0ZsEHNacq4YM7JNLuJqAWdJpj29noc2WTVIiRSMhG1EPCO+0fKuBwQwP71PY9O2aztuNzkMAfRprWCygp4Cwqo5VKgxArsuuhDxrhgH7S6fCnwibML7BJ/CMnsNsMujrAve4uzS2YXJ5nMLtcYCru0EMMtJbO7ANgNcBMpMcMonsindrFBjYEb8zyQ7GDXTVDjvk4KaD3mYHdjHae1knbKYANeu2vRDLvdXotOBt7B+39jB/73vwR/OvW++73W/5/OD37+ZD6RFmV//J6Tpmz7sHZpI+AtqKyAt6CAWi4FSqzAtEvWeTsHONgFzJyzuxjYZRTmKJvbgNbGn85xE0MBi3655FmBXUYah8IuXR8eq1XspXxTFA6trwMA5QXiaZNFtwpgl64RvtZjDnafyMcFA7tMUAtxhNH0Obo41DPY5Xwho5uL1gIXGmeXjhqMbw754lHmWnQy8Jb4Y6lrb03AW7D0At6CAmq5FCixAs2jhZtv1WV2+ckdKKTDwVE9Sdpz1we7tCx7sla1N2JLfzoPgV230ezRfIIajidZ2JDMLl0VHh6s2Etx1gEAh9bXAcDB7kMNsHtKrz/r62D38Vpkm/Nxwaf11W1ugCPcDLs4u2R9Q1x2BnwUrQWwe1w1sf6AaMiehMEgFduTu+xlq4WAt8Qfbh14awLegkUT8BYUUMulQIkVGA14m2GXGMPRgbBLjOFxJqgllnZjoIuDL7ML7BJHAD4dYAHYvm4MlGd/bHZ/01AJX9a3EXYBSYZQnN5b944LHg521/bVvd0f3Doyu882xBgWArueLxDjVQsGg/DFo99zvm6pxUAHD54o8cdS196agLdg6QW8BQXUcilQYgVGAl7iCPy8T6zAObuhMQYmoTFUAtjFTQwFLOII9zEuGDcxHw7h+8md0hCz+N3AWxPU1vSGQTL39WDu7B5iZmf0172T10aCXbo/jOZ4sw5opTPCxnq2QQ1nNwR2x7MWbBbsC4DdbqnF4n/8aVvf3e0cLdzWC9fBJ0UBAW9B2QW8BQXUcilQYgWGA14Ai6ESj9YqafcBnN10GEVAjIGuCg8MVo0d9kuqsR3f648/IC+xh7sbYJdYQZ/nJ3cHu78ZqNjLjAuOEntPX+x1kpudXWD3zP66N8/qYJfM7vN5jAFnNxR2aVlGDprYs9ugxpA4XzREtRj+Dchrs2gtPnjz7W19dwt42ypv6Q4u4C1YUgFvQQG1XAqUWIFm4AV2yd4+mI8LBnZD+uzyEzibm9YPVtNuB8DuyoAJag5a7zxQtX2JpeOCT+uLrdcz6a0RdnfFFZsXxfa+/gySfQ+cXWITxBgc7M7wjCd2sEs3ho21ShoJaAV26cbw1GAl/dIQukFNtRi5ksDueNTiAwJe39tF/z6BCgh4C4ot4C0ooJZLgRIr4IAXYK0ZMQZac1UtNks7I4RMUOOn+u31LMZwwLINaicGwC7npPXY/QNV22dmCyuJnR4Au+nGtjjboLYriWxulATBLuv4qZ7WY7TnIuMLtJLd9fX1ZUMccYQt9UrqIK/p9W9Q43xvmpkbM+xg17dBrVtqQV778cGK7ZjEWsy9sXMjDQdefsl2/+HFdPNhmlcf5XOKX1ySw+bZoe88usSfZp1/awLegjUU8BYUUMulQIkVAHgBrLpZOmwBiKTdGFPJlgUMlWDt1rrZPYNVwyRlg1oo7BJ/uHugaozjbQV2X0kySAaY5kWJnRHg7HKdOMiPDVZse5wNlXg3Lcs82Vs3Zph+wFvqGSSvDmg9xjrg/9nBKJ3alg2jiO2oauIdftENtaB2Dw9U7KUkstmTWIs3O3jT2lP//m/2+xuus1N741E7fGyuRWlf6pXnfMxWf+6/T9qnmW962qRd2BQ6sYC3YDEEvAUF1HIpUGIFAF5+Ot+VdjmophvUjqvGtiLQoQUigVYc0KOria3ujb3DKIDB14HWvKvC/CixP+r3xxhYx0a4R2oV21aP7LAosbV9sU33xBFSpzUdF5xlb2lxRr9cWoj5nN1BM3u+xmSyShqXWBUwQc05tH+oR/Y4mV1y0IGjm7ulFnyB4AvWO6LsNTNZtejktmQv3v5vNvOma0f9dNpSyzaezogSO/Pc/2RzLv7SmD7NmHx2weevNjf61x3kR7f9yhgN3Pz3w51kvIDXjRBeu2alfeLcM4dO5cYIX3bxeR07sELAO6aX51uLBLwFBdRyKVBiBRg8MVbYJVZAZhcIbQV2geQ0jpD3y2WjmS+z6yAZgAR250SJrekL68/L9QGsANYh+VAJ3wQ1zofzjDvGRjNgF4eWvsC+8cREQxzsVhJLxxozlc7XZ7cI7HZiLWZGSbp5j01/Pk3bVYtOBt4DP/2x7f/Hvx/208l19sDZnZZ/qZj/oT+1GX85duC97lv/YrNnzbSrvnyRHTZrpgGYV/7djbZn7z4770/ffxB8thN4ObY79+WfO9+WLF6Uno7pbMccdYT3Oqbyx7mAt2B1BLwFBdRyKVBiBV77y3UtO7tu7C/dGHBqF1czcPGNGQYi9+axAmCXsb/8HDstwKEle4srSMeCuZXsfKHZ22frFcPpwk1kGMX8QMBizdP1bIMaAxd8k9CanV1ua1k173Dh2Uw3Vtgday1YR6yAiMdk1IJpdqsCptm5Lx7tqkUZgZdMPV+4GFDS36Bz3weLAe8Pf3KXnbRyic2Y3p9CJe7uG/sP2KNPbrRGtxXw/M73b0s/NRcumGs3XHNZCqXDObzOIea5Hz17rX318gtt+jQa5/kfrF3/wJPpmsc3bLLrbrjFrr/6CymMO0eao6xacdzQ3zswHu76/Gds/zMEvAU1FvAWFFDLpUCJFbjzM+ekMQa6KoTEGByYsUENCAV26Trgg13WAbtsGAOwjqhk63x9dl32lv944+wCuycGjAt22dvn6pFtqVXSccHH98a2YIywi7Prc2jpHEDvYlzoVmGXQR10xpioWtBRgy8Qk1WLlb2xhbrszbA7nrUoG/DyGuR9wghpNrPxq8Q8dkua2XgA7xf+8pP29W//0Pjf7//45/apj5+d/tkBL87rbT9fb3/xiXVDruv2nbtTKN26Y5f91VU32teuvCgFYID1lp/cNQSjrTq0LtoAhAPdn/zYWWmUAdi98qobh0Cb82x+cbt98eLz0n8D3B1Y82cerJsKDwFvwSoIeAsKqOVSoMQK/PSCc2xpNbblAZldoJWhEgDdvjiyxdXYVgWuY0QtbbkcYOG0howLxoUkUuBgl/+Azw7I3pIpdrA7q5KNJz48AHZdZpeNZji7xBFwdn2wi6tGZIK8JDEGOlykvYsDnN1tMeN7s3ZuE1ELOmPwU/cr+RePbq5FmYDXwe7TtSiN4NBS8PAcdscLeAHFf//Fervjrvvsw2edZh/5wFr7yrU3HeTwNn5cApTOed29Z98Q8C5aMO9t65phNORj1zm5n/3UuSnQOgeX/3V/xlm+9ps/SKMYd/72oYMgO+QcE/kcAW9BtQW8BQXUcilQYgU2/9cPpd0YQhzanTkoAbt0Y8AR9vW9BZJxE8nQvhRHaTeG5YFxhGbY5T/gwK4v7zkW2KXEuKu0EAOwcceA5BA3Edilg4ODXdaFZnaJaPAFAth1nTHaWQs6Y+CW71Yt0nd1WYDXB7vjCbw4tQ4gp/X3DwuubHBzDxcpGA54b/35+oM+XVuNNTiX17m7DnhdZKH5Gog7NEYuWj1fu/9TIOAtqLCAt6CAWi4FSqxA/yXrglxIfnIHlBzsLutNUgfUNyUMwCJDu6sepWN0cUxDsrdsbAOScXbnVbJ1IZub2KCGO/tCLbJQZ5fyAq1uEhqwC1yHwu7z9aztE84uP9UT8/A5u5wP2CVWQAeJ0DZwfIEoUgs0BXa5N87Z7bUoA/C615JzdvnCNb/B2XUfX+MRaWjO2DZ3TGiOE/gc3kZQHcvH7EjAG7J5baRuD2O5jvFaI+AtqKSAt6CAWi4FSqzAcKOFG2+3GbAYKrG0J/GO72UdsOsAC9jlZ/5DA4Y8uA1q2/PMLv8BD4FdwBEoJ1pAn11agfliDNwr7hhDJZ7Nnd0TAroxOEjelG8OssTSbDHdKkJg120q4prRhWl2vk4V41ULYJdzpsMKRolcuEEdQHlZa9HpwPv6jX+f5saBXfdFrTHG0Phenijgbdw81pjTbXR4h8vwAqD/eusv7c8++ifpZY8WlXD3NRzwNkM3z/3ej35m55691u596Clbeuw70wyxgLdN/2EjQ3Lxl66zbTteTs/QvGuwcaeiu4TGTIrrL/fYU5vSf775G1ccFLIebaejgLdNRdVhpUAJFBgNeIcDLMDMt9HMdQ4AlMiJtgK7dH3ALXXObkiMgTIQCWBDHOOC2aBGLtW3KcrBLrAA7LI3/OTeui2sjh6bcLDLuGDiD4AhXSNCHWFgly8CDnbJ+vYGuOWNzi5fPMZSi1ZgtxtqcaCDB0/Qluzpb12Xfsmj9VhzZrf54+nAB/7UFlwy9rZkjZu9moHTbVpzEOmiCu87fZXt3fd6ujGtGXg5DOqwVgAAIABJREFURjP7uH6+oT17hwNejtvYpYE/O54a6e+nykd5KRxeRH5x686h/nBkSNzORVpwNLbXaG7J0fwtpPmF0PiTgcunUDwX2BbwTpWXsq5DCkw9BUYCXqCVzC7QSoyhFcAis0ueFdhlw1foT+fEER7N3URiDDitTEIbLbOLomRvHxmspE4XsEv3hzkB63B22c2+sZZNlzu1t24LAmH3uVpkz9Uz2OV8vpZlDpJxn59rgF2yvoC2LxoyXrUIdXa7pRYLOni08K47fmz/8f983abzBa+hG8NwnzIv1c3eOPvjdvIkTlpr5dMPrvn1PY8OcUwrazv5uaUA3uYCNEPqaMDbuMMQoG0G4OZWHs3HFvB28stf1y4F2qvAcMDrujEAra+1ALvAH90YHh2s2J48J0ocwdeNgTt8MzZ7qAF26dE6y/OTu4Pdhxpg95SAQQbO2X2qFtmmHHZP66sHOcLkJRthF2d3UWCMAfcZNw5ABzxDYZfOGKrF298H41GLM//p9ra+wRbNnd624//+nt/a5v/vX+y4niSNCo304AsoX7QOP+0MW/bx89t2PeN5YLjmj99z0pRpFzae9zbasUoJvM2A22zrN8YZmgEWsXgx8Lj00x9/W86l2QHetnv/RNVK55ECUqDDFJh+SdYv0z1cn93HGmD3XQGZXWCXrgrAp4NdWojNCITWewcqtiOObG6U2Cl9/s1UjbALSLL56vTeeuoIj+aWFoVdYgzEH1yMgbgG+4NGOydgNlbYZQqeajE87I5HLT743fYC78I57QPeDvuo0eUGKFA64PVlU1xe97yPnZVGIIbrTdcMvI07HZuPzwezHlJACkiB4RTY++fvG/prwGxHHTcxm6BGjOH4gG4MfMawQY1YwatJZEfmwyF8WV9O/Gps9vBAxXYmGeyeFjAumHWv0Q94sGJ/iCM7xMzO6K97Ow6wbn+cbVDbXM9iDKHOLhlhWpYRf+CBsxsCuwPALq3O6pmzy5eAowMyu91QizfSzh+RvTiJtVjzo1+39YPB9+WrrSfXwTtOgVIBr9u8dtWVF41q1TdPBmnc9UgFW3F4FWnouNe8LlgKTJgCLtKAs7utbumY4dgs7bN7Qq9/MxUX+nLd7LcDVWNoA7BLrID+vL7/2AO7vz1QtdfM7LAosff2xd7uDw527xuo2suJ2TvM7Mz+uncjnYNdRum+GEc2rQF2+TV4tGsFdp8ezDK7bC5zG9RA39HWAbjP1/KWZZa1OkuHUQRkdsteC2CXL0hbJ7kWAx28aW3CPiR0oglToDTAGwq7KNsIvMrwTthrTSeSAl2nAMDrxvcCrWxWOiZwXDBi4WDeeaBq9M1dVMkcWl97LdYBg7/LYwxkdc/qr3uHWLh1xCaICODsArszMtN11IdrPUZXBaA11Nl1QyUYDhHl3RhCNqjxBWJ7Pi6YYwC7dFXwtSzrllo8mbvl9HJ+dwv5aQZ8jGctOrktme81r3/vPAVKAbyjxRgae8/RocFFGi67+LzUBVaXhs570eqKpUCnKECGF1i9e6BqTChjaAIOpm/aF2AGHP96IINdJqidHgC7rMMxfWCwYtviyGZHiZ3ZnznCoz1YN2BmOLRswKGH7No+f4yBdTjPxBiIIwC7pwR0Y2Bd3bLsrQMsWp35+uyyDoecrgoPDlbTgRZsUCMHHQq73VALOlVMi8zW9NZtbsD0vHbVQsDbKZ9U3XGdpQDe4frsUj7XT7dx1B1/73rRuRKrD293vNh1l1JgohWoXbxuCHaBudWBsMtwiHvyDWqtwC6Q/EjeZ5cYw9q+2KZ7HFogkp61tEjLYDexd9PFwbNBzUFy2lUhHyqxqsffZ5d1NTOjX66DXYZY+CaoDQe7oRPUnLPrYLfstQB2V/fWvYNB2l0LAe9Ef+LofKMpUArgncwSK8M7merr3FJgaivwy8+ckzq1rQAW3RhwaNOhEoExBsCFjXAAJEMl5kSJrQnYoOacZAY1ALszo8yBps+ub0rYAcs2mgG7bKCjRRqDF0br69sMWIwLZqwxLcR8Di1urnN2iTQs6YltWU8S5Jbvic3WD2aRkomoBV9YaHU2WbU4scff83giaiHgndqfT912dQLeghUX8BYUUMulQIkVuP2Cc4JjDEDc3nzIg4NdoNWX2W0cUbs1HxcMtNJKzAetxCyerVdsSy0bKkF/Xt9QiTQ20QC7tEZbMQZnF+N5WTXfaOaJXLipdMQYWoFdN5XugcGsM0ZopKRILfjCAuzuVC1MwFviD7cOvDUBb8GiCXgLCqjlUqDECmz47IfTSWG+zC6ARQN7HFpglw1qQGt/QByBjC8DF3AT5+Yty3xDJYBWYPe5emRbapUUdlcGjAt2sEt3hMzZTWx5T5IOh/BNbGNjG9PauMdWYZcNag/lmd2lgc6u63n8yGDVcFyB3XbXgi8sREMc7J4YMOCjzLUQ8Jb4w60Db03AW7BoAt6CAmq5FCixAn2XrAuC3d2x2ZMOdqvZKFNfn11ACcBiUIODXfrQzg6IIzTC7qwK0BoH5T2ds8sGtVZglzgCkQmcT2IMbDRLW4gFOLu41g/XKqmzS2aXDWohXyCYoAZcM7p5cTW2Vb1h64rUgi8eO+qRzc817fZaCHhL/OHWgbcm4C1YNAFvQQG1XAqUWIHhRgs33i4Qx1AJQGl3Pi6YFlu+CWpuzDBtwAAsnF3WAVi+DO1YYZcuDhtzZ3dGC86uaz3mYBe4Ds3suo1ttFkj6xvSjQFNyfryBQLYpefxit7E26livGqRwm5vnI6j7fZaCHhL/OHWgbcm4C1YNAFvQQG1XAqUWIHRgNcBFhvGHOwCdYcEZG9xdlkH7M6rJCkMHhYAu2zaYirZC7XIQp1dykM/4Gfz1mPAONAaEmMAdp+v58MhmIQW0I2B87lxwcQDgF3OF9Jn12V9+QLhYHdZwDS78aoFsHt8b2yzA2rYDbV4U4MnSvzp1nm3JuAtWDMBb0EBtVwKlFiBkYB3OMDiZ3763/o2mgG7AB05UQCLn/lDYJfWY6wjWjArSoxWYId7IJnSkL1lRC0xBmB3ZcAGNQetm+pRek5LzMiz+vrsNsIu6wBtnOvjQuMPcZSCObDL6OalPYl3utx41oIvHiExhm6pxZxv/7St7+5Fc6e39fg6eLkUEPAWrKeAt6CAWi4FSqzAcMDrOgfgXrJBjVZeobBLBwB+qgd2F+RuIhvUfBvGGEbxRD5BjQ1qDHmYFwi7TO3alLceOymg3ZWD1o31yIhcEL9w44J9mV2X9cW9xtkFdok/hGR2GaP7dC2y13PYxRH25aDHuxY+ZxdtuqkWf3TTHW19dwt42ypv6Q4u4C1YUgFvQQG1XAqUWIFm4HXdGMizAruM0Q2FXToNPFar2Eu5s4tD6+vGgLSA4yODlbRDArBLpwJf6zHn7D7RALtMUAtxhIHWdBhFPYNdzhcyLtjBLpDsnN3FwK6N7nqjKVPlcKFbhV06Y5S5Frjzae56kmrxwZtvb+u7W8DbVnlLd3ABb8GSCngLCqjlUqDECjQCL0C3K9+gtid3dsmmhmR2ATOc3V1xFmPAoWVT1GjxB2R9jXXAbpzB7im9/vgD696IyQhHtrlesX4zO63PP6KWdfxUT8uyTTlg4eyS9fU5uwAuuWLADECn28RRPUk6qni0e+S5W+vki7PRzbQsO6bqd3a7oRb74wx2t8RvuewTXot/VKShxB9vHXdrAt6CJRPwFhRQy6VAiRVwwOs6Bzw8WE2hkBgDUOfrxoA0r9TN7st7yQK7QKQv6+tg976Bqu1OLB1CcXpv3Tsu2MHuw4MV2x5HNs3M1vbVvd0fHOxuGKzYlnpkVctiDAuBXQ+0Aruu+wPHIcZwdCDsvliP7KnBitUtm7xGjAFAHw2Su6EWwC5fkNAHh3yyahFr01qJP90679YEvAVrJuAtKKCWS4ESKwDwuklo9w5WbC8xhnw4hC9fiizA4N0Dbzm7a3rDIBnnk/HExBjeYWZn9Ne9k9dcjOExnN1a5uwCu2yI8znJOKZkdp8ezCZlrA6EXeATKCNWwM/vfAkIjTHQeoyhEnQ7YOMeG9T6PLDbLbV4ppblp1v54tGOWuwX8Jb4063zbk3AW7BmAt6CAmq5FCixAgAv8YC7c9g9spLFCvoC4gjA7m8GKvZyHNnhUWLv6Yu9HQeQEth9KN+gdoiZndlf927ecrBLZvf5WiUFx1Zgl84IjCimG4PboAb6+pxWhko8msMuzm46jCJgHb2LGReMW76kGtvxvf74g3Ovu6EWwC76n9pbtwVVS///ZNRCfXhL/OHWgbcm4C1YNAFvQQG1XAqUWIGeS9bZnQeqxvhfxgWf1hdbr2e6mHN2gd1dccXmRbG9rz+DZN9jONid4RlP7GCXbgy0HhuLs0usgNMAuyEb1HATGRf8YD4uGNgN6bOLQ0ueef1gNe12AOyuDJig5jTtllrwpQHYPQLYDZhm165aCHh971j9+0QqIOAtqLaAt6CAWi4FSqzArz9zTgq7CyuJnR4AuwAdriXxh51xZHOjJAh2WccktMcGsz67ZHxxaMnu+vr6DpoZP4E/V6ukDvKaXv8GNc5HbpahEsAugMVQCV+fXdbFlk1Cc7BLl4qQCWoOdu/JnV367J4YALusI/bw64Hsi0c31ILOGOTEfZPe2l0LAW+JP9w68NYEvAWLJuAtKKCWS4ESK3DbBee0BFh0GniwAXbPCHB2HSTT1zeD3cTeTcsyT/bWQXLaQiyH3dUBrcdYVzNLN6dxTjZFkb3F2R2tG8NwsEv2dlnAUIlG2MXZZVxwKOzSzu2ewYrRGaMV2C1SC9rHEdeYrFocNQbYbUctBLwl/nDrwFsT8BYsmoC3oIBaLgVKrMDDF344KMbgNlM96mCX+ENvbNM9cQTnXjKoAdidGWVdHOiz63N2D5jZphx22UB3YsBQCc6HI8xGM7oAALvEEQAsX+sxNrY5Z5dIA10VgN2QoRJ7YqA1izEsrsa2KtDZZVAHm/foeQzshkRKitQCSOZLgOt53O21EPCW+MOtA29NwFuwaALeggJquRQosQK9l6zzZnYBrNcTs8drFdtWj2xOlNiavrD+vPxUT3cEJqEdkg+V8E1Qc87u5nwnP9lgHNqQn8Bxdv9Qj9JrrSRmjNJlEpoPdgFcehDfP1hNN9UdV41tRSC0ArtkdrlXIhN0gPBBMvdIfIH2aq53MZv+fPnporVo/OLBKOVur4WAt8Qfbh14awLegkUT8BYUUMulQIkVGG60cOPtOjcRV5CfwOfmfXZDsre4iXRGYGADsMswivmeccEOdrfUIns6HyrB8AvfRjMXYxiCXTNbVs27KgRsihoL7Lqxv3Rj4AvB4mrmXofA7l6m0uWwywjmU3tjmxbglhN/KFILdGXAx6qAaXbdUAsBb4k/3Drw1gS8BYsm4C0ooJZLgRIrMBrwOhdyQ+7sAru4gr5xwawDdp+rR7alVklzoowZXjBG2MXZ9Tm09MjlZ/rU2W0RdnfkG9RwdumqEOLsOkeYPrtAKLDLRiwf7LIO2H0ih90jKtk6X8/j8aoFsMvmvVBnt/mLR9lq8ab68Jb4063zbk3AW7BmAt6CAmq5FCixAiMBL4BFvpR+qcQYgF1iBbMDsreNsDurkhhdDkJgl+wtY3+fyZ1d4gi+jWaUhuwt+WCGQxBj4Hxpv9wAZ3dbbPZonr1dWo1teUCMAWh9Kc4iHvviKDiz6xxhYgXEGIBdXO+Q0c3jVQvc8sMDvnh0Sy1mfPtnbX13L5o7va3H18HLpYCAt2A9BbwFBdRyKVBiBYYD3uFgl41fwK6vjVQz7IYAFvLirrJBDcDuj8xYF+ImArt0Y3Cwy7rQzC4RDaCVjWauA0CIQ8vGNjbEAbt0Y8AR9vUgBnYZRoFbvjvfoLa8Nw5qy9YMu6pF9oZ0I5iL1GLNTXe09d0t4G2rvKU7uIC3YEkFvAUF1HIpUGIFmoHX/XSOC4mzO6+SpBu/GN/rg102beHOktnF2Q2FXaCVSWgOdgG6UNilzy7Ag7PLT/VEC3zOLucDdsnC0lM4tN0VgEX8AWh1sLusN0kHYfimhAG7aJrCbjXTNCQHzcY21eLtb8DxqsUHb769re9uAW9b5S3dwVsG3lf27rNLr/i6PfbUJq8Yq1YcZ9df/QU7bNZM73M79QkC3k6tnK5bCrRfgUbgBSLoOPBcvWLb8xgD0BoCu4AZU9CIFszKM7u+n865u/1xNhzi2dzZPSGgGwPrAFXAmo1tjAsmW+wbKsE6xiEDu8A1xyD+wAQ1X3cEHOgd9WwTHrDLUImlPYl3lDLZYjbEcX+0HgPkl/bEdqhn4EY31AJnnU2G9FierFqs+I4c3vZ/yugMoQq0DLyhB+6W5wl4u6XSuk8p0LoCDngBLEbiEg0AzHB2Q34654z70hxsxV6KM9gll+rbFOVgl04FW+PI+tKxv3VbGDBqFjjaMFhJe+3yoDNCiCMM7JIR3lSvGCDqsr69HocW2GVDHNDKuYFdINm30YxzbK9nDu3rSQa7nJMpcz5HuOy1AHY31iLbXKukE/EmqxbVG5Thbf1TQyvapYCAt6CyAt6CAmq5FCixAgCv66pAT9gdcWTz2UzVk01CGy3GgCzAIJPXAMLD8j67DJXwrQMGn3AT1Mzs1N66LQiAXeIIjBnGoaUbA7Dra1nGdbIOQCbGwDW7/ryAtg8+t/NFYLCadp6gP28I7LoNakw0Y4Ia7nMI7HZLLTbXozQaQl0msxb71aWhxJ9unXdrAt6CNRPwFhRQy6VAiRUAeN+MzR6qZTEGnF16tPpajznYfSiHXdpdndLrjz+wDth9Cqc1n4R2Wl89yBEGjtIxw/VKCunA7qLAzC6wCyTjLAKebGwLgV26MeB6v5bHGEJgl2vbk2SuN7CLs0s0xNeNAW26pRbALl880pHPk1gL9eEt8YdbB95ay8CrDO/BVRbwduCrXpcsBSZIASat3TuQObtzgdY+/2aqRtgFJNl8dXpvPXWER3NLi8IuE9uIFTjYZfNX1ePQOmcXwCLS0IqbSPYWh9bB7rsCMruuwwVfBBzsAnUzPDEGp2m31ALYJTJzNPnpAJe9XbUQ8E7QB41OE6RAy8AbdNQuepKAt4uKrVuVAi0qcP+FH7adOeyeFjAuuDnGcIiZndFf93YccLC7oRalm9t6zKwVZ3dTPUqzsGxQw9kNgV1iBUQtcGgBLJzd4wIAC2ilq8JD+QQ1MrvHB3RjcFPp7hus2F6c3XxQhy/r6zT93UCla2rBl4DFPUn6OhjtS1K7ayHgbfEDQ09vqwIC3oLyCngLCqjlUqDECtx6wTlp9va9fbG340Czswvsntlf927ecrD7dJ7ZbYRdtp2NBjw4tHRxIHvrYJeIAPldX/aWbgyP1rINariJxBhCAItOFffmmV367J7Q63chucc3YrO7G2CXiAf9eX2uNzAO7OKyT1QtyE+zYWyyapEOBgmA3XbXQsBb4g+3Drw1AW/Bogl4Cwqo5VKgxAr85jPn2Fn9de/ghJFgdwbk6XkArcAuGVp+vm7F2WWoBMMhotzZDdmghrPLRrMHB6vppihgl+ytrz+v60H824Gq0VP4mMBxwdw+cYk7D1SN9myLKonhlvtanTU6u8Auuel21wL4fzJ32ckwd3stBLy+d6/+fSIVGBPwuhzvZ/78HPunf7l9xJ686sM7kaXUuaSAFJhqCvRcss4Lu4DggJnRQow+u7TVWtvnjzGwjhG1TFAjjgDsnhLQjYF1tKoiH+xgl1Znvj67rIvNjEloDnaJMZC9DYXduweybgwMsCA64Zu8xjmB418PZLC7sJLY6QGwyzo20D0wWLFtcWSzo8TO7M8c4dEeRWtBhwv63k6LzE7u8XfGKHstBLxT7ROpu69nTMDb3ZIdfPdyePVqkAJSYCQFhhst3PhcgIfes0QKMthN7N10cfBsUHNgRlcFMruA3Koef59d1tUsG0jgYHdFwAS14WA3dIKac3Yd7ALWqwNh97XE7J58g1orsAskP5JPsyPGsLYvtuket3w8auFgd3Vv3XyDQbqhFgJefTZOJQXGBXh/dNuv7K+vuWnovhYumGs3XHOZLVm8aCrda1uuRcDbFll1UClQCgVGA17nXuLOArszo8z1pM+ub6PRgdzZBbD6o6z9VJq9HcXBbAYsxgW7rgo+h5bognN2iTQs6YltGZndAMeUnOj6wSzG0Arsvpo7tAzqAHZDYgzc4+uJpTDP6OY5UWJrAjYLjlct2EB3YqCz2/jFo6y1UB/eUnyMleYmCgMvsHvLT+46aITwxi1b7eIvXWdXXXmRnbZ6eWnEGu5GBLylLq9uTgoUUmAk4HUDEBilu6UWGX126c/rGyqR/lTfALu04yJW4Mvevg12mb5VjS3d3OSBVgB3Rx5jaAV23XCIB/JuDKExBtbtxaEdzKbSAbtAqy+z61qW8QWCDXVzK9kXCNq6+b5AELMYj1qsGIPLjvFc1lr0atJaoc8PLR5fBQoBr8vyXnbxeW8D2/se3mA//Mld9tXLL7Tp04jvl/Mh4C1nXXVXUmA8FBgOeB3sPlePbEutksLuyoBxwQ52Gd+Lszs9YuBCkrUQ80Arm6loIYbz2SpgsUGNFmK4vEsDnV2gld6ujwxWjVgCsHtSQIzBjWDmOoFdNqgBrf0BcQQgmWjIzhx2TwwY8DHetWBQR8gUvG6pxcnfuWM83kYjHmPR3OltPb4OXi4FCgPvlX93o13+ufPfFl/A5b32mz+wq758kR02a2a5VGu4GwFvaUurG5MChRVoBt5mwJpVyaaEheQ9nbNLZtfBbghgAapEJuiXy0/nOMKhzi5O6cO1igGiZHbZoOaLMfBcJqgBrfviyBZXY1vVG7Zud0yXgxx2q9kIZl+fXTQFdhl+sSOfZkfEY3ZANARn133xUC3eerk7d75oLdbdfHvh99BoBxDwtlXe0h28EPDuf3PAvnLtTfbJj531NodXwFu614puSApIgRYVaAReIAK3k64KL9Qr1gpgAWa0EMPZnZE7uyGwS6eCP9Qie6KewS5wTb9cnyNMGzAysG6oBFnfkG4M9Lx9qW62oZ7BLn12V/Qm3u4IONAMo6C12u58XDDtznwT1IB5MsLEEXB251eSFOiB3dGc1m6pxY662TOTWIuTbpLD2+JHhp7eRgUKAS/XNVJ0gWzv5he32xcvPq+Nlz/5h5bDO/k10BVIgamqgAPeIRdyMJv2FQq73NfrcfZTPW4rAAi0hsLu04ORbQZ2zdLYBNGCENjdWItsU62Sti/jfCF9doFdfqoHyrM+u7EtC5igBuxuT8caR7YvidLNdwD2IZ7sLbBLbILMLmOGgd3j8xiDb/Ne6giXvBZkwzfWK2l7tsmqRb8yvFP1o6krr6tl4HW53cee2uQVTH14vRLpCVJACpRYAYDXtbviJ35639I5gFZgvhgDsgCDjw1GtqlO1pduDP7WY6wDBukJCyjTn5c8q6/PrluXTl4brDB4LR0qwbhgHyTjmG4ljpB3YziuGtvSnsQ7Xc5lfXGSGRd8VDVzaOlF7Ntoticxe2KwYi/lG9uA5JAYA23gyl4LvngQRwB2J7MW6tJQ4g+3Dry1loG3A++xrZcsh7et8urgUqCjFQB4gQ7ADNhlgxpDHuZ5fnJ3sMvULpxWcqwnBbS7ctC6sZ5NXgO22fSFa+qDVpf1xTHFrR0aFxzQxWFrnDu0cWTHVjNH2Je9dTlRoJwNalxjKOzSsgygI8awIHd2ZweMGe6WWjB57/U4SjcZMtFusmqhPrwd/fFVuotvO/CS873+uz+2z5z/kVJuXhPwlu49oRuSAuOmQO8l69L2WjhuwC6dCnytxxzsPtEAu0xQC3GEgVaGUTxXz2CX8/laljlIZmMbkEx+F9hdzAY1G91pBVqZZLYhB6xWYPeV2NKMMLDLNYbCLjnox2oVeynP7OKWMzZ4NEeYewTiu6kWwO5x1STt0zyaNq4zRjtqIeAdt48SHWgcFBDwFhRRwFtQQC2XAiVW4PHPfngIdk/pje2wQGf38Vpkm5mgZman9dVtbsC6ZtjF2SXrG+Ls4j7T5QAopMPBUT1JGoXwgRIty56sVe2N2IKdXUCcOMKj+QQ1nF1ywr7Mrutw8XAeYyCzi1tO1CMEdh9q+OLR7loQRSEH7b54THQtQmG33bUQ8Jb4w60Db60UwOsGXWzb8XJagubssOsmcevP16f//rdfutA+ce6ZQ+VqziXf/I0rDuo60ThJ7qNnrz2ot7CAtwNf9bpkKTBBCvz7Beekgw9O7617xwU7Z7cRdtf21b0dBxpjDM82xBjS/rweaAWSG2EXZ/foQNhlGMXjeWaXyWu4idMCsrfEEYBPNpoBuwC2rxsD97g/Nrt/sGK74sgOz/vz+rK+ztnlfNznRNQC2GUDHrlrFymZ6FoQKen31N4N6mhnLQS8E/RBo9MEKVAK4KVTxItbdw5B7D/ccItt37l7CEz5Mw86RjQPy3AwvHbNynQ98PxXV91oX7vyorS3MMe+7oZbhibJNR6LYwp4g15nepIU6EoFfnXBOXZGf9077Wsk2MUR9rmXQOumepR2K2CnGW5iCGDxUzZRC9d6DPAMjTHQZ5ehEnRjwE1kgxputG+jGXGE+wazDWpHVpJ0M50vX4o2xCx+N/AW7K7pDYNkHOsHc2f3ELMJqQWbBXF2I9XCBLxd+bE3ZW+6FMDbrG4jpPJvzcMxGqG1uV9wMwDz3GOOOmIIppsBWMA7ZV/bujApMPkKXLwuCOhwBcnsPp/HGHB2Q2E37arQALu4prQh88URaHP2aK2SdoLA2U2HUQSso18u44LpdrCkGtvxvf74A4Ug9nB3A+wSK+gLiCMAu78ZqNjLOLtRYu/pi71OcrOzC+ye2V9vey1wdslBoz/56W6vhYB38j+CdAVvKVBK4CWCsP6BJ1OHd+uOXQc5ttx647/moseCAAAgAElEQVQ/vmHTQQ4u/+6A+NJPfzwdrOHcX/6t2QEW8OrtJAWkwEgKDDdauPm5ACfdGJigxs/QrcAu3RjI3jo3MWSDGs4u2dsH83HBwG5In11+Amej2frBatp5AthdGTBBzTm0dx6o2r7E0nHBp/XF1uvp/uDWAbu74orNi2J7X38Gyb4Hzq6LMTjYneEZT+xc9iK1oJ0bXxpO7a3bEdXRh19wvrLXQsDre6Xq3ydSgdIBbzOQDjfxrRl4f/iTuw7K5TYDb+Mkuebj79s/OJH10rmkgBToIAXqn37/iFcLQPLpkf4EXqukruWaXv8GNdYxEML1y4Xj2Lzl67PLutjMdjbALp0RQiaoOdi9J3d26cZwYgDsso7Yw68HMthdWEns9ADYdb2L782HQ8yNkiDYZd2A0bu4ko5TJuPLFwiyu764xXjUAtgdcnZHAfNuqUXPP9/Z1nfrzOlsrdRDCoQpUCrgdZvXrrryoqFNZ82AOt4O7743amFK61lSQAp0nQL1C84a9p4dmKUtxHLYXR3Qeox1fOIwZpgYA23DGLjgm6A2HGC9qye2ZQFDJRph103tCoVdMrv35BvUWoFdRimTvWUqHbB7RoCz6yAZXTLYTezdtCzz5KDHsxZphwsiJS3Cbllr8Y5/vqut7/mZM3gH6CEFwhQoDfAOB7tIwCY1ZXjDXgx6lhSQAuOrwHCRBgDrgJltymGXTVsnBgyVcI4w3QYYusB/6okjAFghrcecs8vP6HRVAHZ7AoZK7ImB1izGsLga26pAZ5duDA8MZn12gd2QGAP3CCTTsiyFXdaxsc0TR3Aty4DdP6TdGJJ08x49j33Ormox/Gt+PGqx8jt3jO8bquloi+ZOb+vxdfByKdB24J0IuYZzcRvPqy4NE1EFnUMKSIFmBZqBtxl2ace1ImBccCPsNjq7vhgD1wPg0kKMzG6rsMsGtfty2A2NMXCOvfmQBwe7awJjDEAyXSOYoDavkhgb23wty9Dm9cTSLhVuwMeqgAEfqsXI71fXsqxoLdbdfHtbPxQEvG2Vt3QHLwXwNvbJbayQ66erPryle93qhqRARyjQCLzuJ/d0olk926DGwAXfRjP3k/u2emSP5x0AllXzrgoeh5YNcbvT/rXVdKjEcdXYVgQ4tKzD2aUbAzBJZALH1OcI0yLtVfrz1rIWYoz9PbU3tmkehxZIJuPLBjzuE2eX8/myt6wj/kAshJgH0+yYvDbfM6ijW2qxN59mN1m1eM8/yeHtiA+qLrnIloG3eUjDaDo1D4Aoo6bq0lDGquqepMD4KOCA1/3kzvStLcBulMEubat8cQSiBC7+wHNDYRfABa43DFbSzXF0VQiFXWIBwCcwCeyyESsEdolNPEOMIYnsiEq2ztdnF0gGyhma8VIeY6A/r29csHOSWbc9h92VvbHNC4Bd7qvMteALy4565nq/Oom1eMe3fzY+b6QRjiKHt63ylu7gLQNv6RQoeEMC3oICarkUKLECAK9zaOnGAJzROYCNZji7Pth144L5aXmamdFVIe2XG5C9faFu9vAgfQPMllZjWx7g7AKRW2OzRweqac74mMDMLut24SayQS2J0tZjdI4IGRfMmGHWAbuMC2bj1+yA7C1ZX+IdxBhwhPkCcXgA7NLFoey14IsHU/BcG7jJqsWb3xLwlvjjreNuTcBbsGQC3oICarkUKLECAC9OKw4tAwlacXaBXX6mB3YrSeYIHxMIuwyVIFaAO+w6APgcWqAVUGJD3L44SmEXR9jX95Z1ZH2dQ8sGteUBcQSXE0UXF2NgEx6w6+tykMYY6pFtqVVsViDs8jLrllrgzu/ORzfzJckXDWlXLdSHt8Qfbh14awLegkUT8BYUUMulQIkV6L9knbnpW8AuQBcSYwB26bMLfAK7/FTvaz2GjKwDdnE+mYQW2u7KbWwDlBzsLutN0pyxb2IbsMtP5wAWI41xr0MAC/eRdcAuG9RYx3Q5H+zS15cM9Au1qCXYRZtuqgWvMzQNcdnbVQsBb4k/3Drw1goDr2sHtm3Hy2+7fWV4O/AVoUuWAlJg3BR49drL0pG4tBA7vJLYoZXEfIPCEiPTGqWbvnjwM//swHWv5uvo1cvP/HMq2Zjh0R6cj3gA5xtIIpsdZet8k9BYh9PK/e1Psr63nJMBGr4HzjPney2JbHqUpMCbZn09C3FoWbc3iWyaJTavmmRA51nHwA2us1tqQVs2asGXLN+jnbU4cNk/+E5f6N+V4S0kX9ctLgS8rvsBo3dPPmGpfe9H/2GXX3q+TZ/Wl47n/eP3nDQ0AKKsysrhLWtldV9SoLgCIaOFi59FR5ACU1MBObxTsy7delWFgLdxqAMCXvvNH9hVX77IDps10+57eIM1j+wto8gC3jJWVfckBcZHAQHv+Oioo3SmAgLezqxbWa963IB3zuyZdtX//J5d+X//RQq8RB0aAbisAgp4y1pZ3ZcUKK6AgLe4hjpC5yog4O3c2pXxygsBb2Ok4RPnnpnGGI456gjj/zMMYv0DT9pXL78wjTiU9SHgLWtldV9SoLgCAt7iGuoInauAgLdza1fGKy8EvM2CNA6lWLhgrt1wzWW2ZPGiMuo2dE8C3lKXVzcnBQopIOAtJJ8Wd7gCAt4OL2DJLr8Q8DZmeJvBVhnekr1SdDtSQAq0rICAt2XJtKBECgh4S1TMEtxK24BXGd4SvDp0C1JAChRSQMBbSD4t7nAFBLwdXsCSXX7bgFcZ3pK9UnQ7UkAKtKyAgLdlybSgRAoIeEtUzBLcypiAd7RhE04TZXhL8OrQLUgBKVBIAQFvIfm0uMMVEPB2eAFLdvljAl6nwWgZ3pLpNOLtaNNat1Ra9ykFWldAwNu6ZlpRHgUEvOWpZRnupBDwlkGAovcg4C2qoNZLgfIqIOAtb211Z34FBLx+jfSMiVNAwFtQawFvQQG1XAqUWAEBb4mLq1vzKiDg9UqkJ0ygAuMCvLQgu+DzVx902Td/4wo7bfXyCbyVyTmVgHdydNdZpUAnKCDg7YQq6RrbpYCAt13K6rhjUaAw8AK7191wi11/9RfSkcI83Ka2z336P6dT18r8EPCWubq6NylQTAEBbzH9tLqzFRDwdnb9ynb1hYDXjRb+5MfOepubq8ETZXup6H6kgBRoVQEBb6uK6fllUkDAW6Zqdv69FALe0bo0aPBE5784dAdSQAoUU0DAW0w/re5sBQS8nV2/sl19IeCVw2umSEPZ3hK6HykwfgoIeMdPSx2p8xQQ8HZezcp8xYWAF2GYqHbLT+5ShrfMrxLdmxSQAmNSQMA7Jtm0qCQKCHhLUsiS3EZh4EUHdWkoyatBtyEFpMC4KiDgHVc5dbAOU0DA22EFK/nlFgLe0TK82rRW8leObk8KSAGvAgJer0R6QokVEPCWuLgdeGttA15tWuvAV4MuWQpIgXFVQMA7rnLqYB2mgIC3wwpW8sttG/CS7V3/wJP21csvtOnT+korozatlba0ujEpUFgBAW9hCXWADlZAwNvBxSvhpY8JeN1giW07Xh5RkoUL5toN11xmSxYvKqFsb92SgLfU5dXNSYFCCgh4C8mnxR2ugIC3wwtYsssfE/A6DUbL8JZMpxFvR8DbLZXWfUqB1hUQ8LaumVaURwEBb3lqWYY7KQS8ZRCg6D0IeIsqqPVSoLwKCHjLW1vdmV8BAa9fIz1j4hQQ8BbUWsBbUEAtlwIlVkDAW+Li6ta8Cgh4vRLpCROogIC3oNgC3oICarkUKLECAt4SF1e35lVAwOuVSE+YQAUEvAXFFvAWFFDLpUCJFRDwlri4ujWvAgJer0R6wgQqIOAtKLaAt6CAWi4FSqyAgLfExdWteRUQ8Hol0hMmUIGWgZfODJde8XW77OLzbOmxR9qVf3ejXf6580vffmykmgh4J/DVqlNJgQ5TQMDbYQXT5Y6rAgLecZVTByuowJiA10HunNkzBbwv7y9YAi2XAlKgrAoIeMtaWd1XiAIC3hCV9JyJUqBl4N3/5oB95dqbbO2alfb+954i4BXwTtRrVeeRAh2ngIC340qmCx5HBQS84yimDlVYgZaBlzO6WMNjT20a9QJWrTjOrr/6C3bYrJmFL3SqHkCRhqlaGV2XFJh8BQS8k18DXcHkKSDgnTztdea3KzAm4HWH0aQ1MwGv3lZSQAqMpICAV6+NblZAwNvN1Z96914IeKfe7Uz8FQl4J15znVEKdIoCAt5OqZSusx0KCHjboaqOOVYFxgV473t4g13w+asPuoabv3GFnbZ6+Vivq2PWCXg7plS6UCkw4QoIeCdccp1wCikg4J1CxdClWGHgBXavu+GWg7K6G7dstYu/dJ197tP/2T5x7pmllrndwPs//qbnIP0qFbN3LYls8TvNavXIHn4stt2v+CWOIrNjjo7suGPMIovs8Q2x7XzJLI5HX8u6BfPNjl8aWV9vZBufj+3FP5gN1vznnHOY2crjIztkRmRbXkzs+S2JHRjwr5s+zezkEyObPSuyHS8ltuHZxPYHNMOoVs1OPSmyw+dGtntPYo89mdjrb/jPh6YnnRDZkUdEtu/1xB56NLF9r4WtK3st3nGI2aqVkc06dHJq8cEPDvoLMYWfIeCdwsXRpbVdAQFv2yXWCVpQoBDwuo4Nn/zYWW9zcwHhH/7kLvvq5Rfa9Gl9LVxSZz11IoG3v99syTGRHbXIbDCH3Vf2mCXJ6Jr19ZodfZTZMUdFBu6Gwi4AuXCB2dLjMth97vnEXvh9YjUP7AKQh8/NIHn69Chdw9rBAHY5bLbZimWRzQawdiX2+FOJHTjgf00cMsPsxJWRzTssslf2ZtC6/03/uunTs/MdMd/sjf2R3ftgbG8EQHK31IIvLIe+I7JtOxN76pmJr8UV/z3gm5W/zJP2DAHvpEmvE08BBQS8U6AIuoQhBQoB72ib1nB5r/3mD+yqL1+kLg0FXnDO4e3vy8Bs0cIoBcCHHostBHZ7e82WHhul7i6u7BNPxbYjwNkFdo9ciENbSYEaYN38QmL1ut8Rnn+42eoTK4Y7/MIfEnvmOT8kc9TZs8xOP7VivT1mO3cl9vDjYZAM7J6+pmLvmEEHkcTufTCxgRAnebrZKasqNme22WtvmP3uvjgIrrupFj09Ztt2ZF88Qr6wjHct/uZ/CHgLfHxoqRSYVAUEvJMqv07epEAh4J1qDu9IAP6j235lf33NTQfd+mc/da598eLz0r9rbrPWnD9uXP/Rs9ce5FpPhMOLY4qzu+TYDFofejQ8xvDOI81WvCuD1ic2xLZth98RRhPiCKeclMHnxucT27g58cYfWOeAZ3p/BrtPPh22DrB673sqNvMQs5d2J3b/Q3645nyA+btPiWz+3Mhefc3sN+tjL5SzrjHG8Pr+cNid6FrwpQHXe7JqgbP78GOTVwsBr/6bJQU6VwEBb+fWroxXXgh4EQQYvOUnd01qhteB960/X28LF8y1G6657KBRx1zj+geeHDZe0ThIg7wxzvRfXXWjfe3Ki9JjNGeU/+GGW9LXgYPldgPvV7/Wk7qzuLQDg4k9/mRiL73sfykCZosWOtjNcrB/2OaH3SHAWlWxnp7Enn/B7LlNYdDqYHdaf2K/3wpgh63DMV17WsXecUiSus/EEXxOMgrgXq8+MbL58yLbuy+x390Xtg645qf6IxdG9vobid3/cBIUYwCuJ7oW8+aanbSye2sh4PW/1/UMKTBVFRDwTtXKdOd1FQZeZJsqXRpGc3hHAt7m6EUzAAO4xxx1xNDmu2YAbjfw3vzPvUOw+9TTie3c5YdWl71dsaxicZzYMxszAPVlfR3srl5Vsd5qYptfNHt2LLC7jehEGOzOmG62ZnVks2ZGtv2lLHsbArtkaE9cEdmCeZHteTWD1pAYQ1+f2bIlkb1zUWSvvZ7YI4+HbVADko9+51tfPCaiFinsnlCxnkr31kLA253/YdJdl0MBAW856liWuxgX4J0qYoRGGhrjDMN1mXAu7qWf/vjQGGXXbaLZAd62O6B9QAGBfvXLvtTZffq5xHbs9EMrsHvEgszZBXbJ3tJVoRXY7akmtuX3Zs9uDIPWQ2cCrRVLnd0WYJcOAHRjcB0AQn86Z6PZ8ndFtuDwyPbszaA1ZIMakIxT7mCXXOreV/3FIdZx1JFmS46tTFgtnLNbqST2wh+6txZ/+5XOzvBOv2Sd/wWmZ0iBkiqw/1s/a+udLZwzva3H18HLpUBXAG9jyVxe97yPnZW6tsN1k2gG3sYuFM3A6wPJoi+X/3VLLXVZtwdkb5thl9ztC78Pg92hn85xdluAXTaaAa2HTI/sxa1JcIwBSD5hedaNAWf30SfCnN0ZMzKHFthlgxpOckjrsWnTzI47JrJ3LsycXToOsOnP9yA28c5FgHLF/v/2zjzIrurO77/bai2tBe1Sa1+BloSEQIBVYxtjE9dUoEhcdlljx1XBhc2o5CQzgwkUssdmgNhQUBgmqUAUbI0nE5cZueyqFAWJK2UH20xZwyqQkIRA+9baEUJqLahf6nuvbut1I+me16ffcs/99D826nfevefzO+/15/3e7/zOqdOl2sViXpM1RUlJyRbH+ukQY/HMk/2zQtTQvz/6Z59q6Pvj5iBQTQLD//Glaj59vDGaHwi4Eiic8AqManq37WyP63B9M7zVLmn4b/+92WmjWVyz26rMZ5LZrUR2x45J6kT7SXZ3uJcxaGPbVW2RDR4c2a497hvUhl92rvXY8Mja9yeS7NQBYEiSoW0dF9nhI0ldsku/XPX1nTEtyewe+zDJlrv0LlZmV5v+UtlVLbPLpr++iEVUoeyGGgtKGlzfynkcBBqPACUNjReTIt9R4YW30Wt473+o2akcYdLEpIzh7NnKZFeHSlzV1mT66lw1uy4b1PSpWoKlNmk6VEKZ3Y2b3MoflIVUf14dKqF2V++863YYhcof1KVCmV0dKqFWZx8cy37plsvuB8eSDO2hw9nj1LtYmV2VMSiz6yq7YtMXsdiyzWzL9mymoccC4c1eqzwCAo1KAOFt1MgU876CF15tQvvl87+zL936mfgAjLSk4e6lS+LDMhq9S0PPk9Z6LlMJj7KQbbOTzK6EzrVmV4dKSFqbm6NY6LbucBOsMaPMrpgd2dAhyaESumbWYRS6b7XXunzmednVuJMOh0N0k90jyfVcam/jMoZzmd1KZFdlDDqkQx0ZKpXdvoqFZDerXEaxDz0WCG8x/zAx6zAIILxhxDGUWQQhvOVtydLAlPfLVU3uT37+QlfMHrr3jm5HHjd6H96LLTYJz9TJypgmsquv6l27Maj8QdLavzmKBVKHSjgJ1uhEWlPZVemESzlCT9nVZjqX44KHnCtjiDO7FchufBKaNqhNiCyVXZUxZM1RddDqeZzKrjpcuNRPE4uLvyX6xOL+7+Z70xonrYXyp5J59IYAwtsbaoypFoEghLdacFyet9o1vBfL8Eqwpk1J5FPHBW/Y1OncZ1cnqGmcMrvvbum07TuzRTDOJpbJ7vZdJdu23a0coVx297SX4k1YJxyaW2iDmu6zUtlV6zGNU59d1exKWl3KGFR7q3GS3Y6Okm3a4tYZowixGDY02fRX61h87d84nEft8kKt02MQ3jqB57INQQDhbYgwcBPnCCC8nkuhHsIrwZKUzZou141sveMJaml96ezpkfXvH9mmzZ22a7fZ2c5LQ/iY7O5UvW/J6Rhe1eyqq4JqdmPZ3e52yINaj6nWV4J1SJndzW5lDOqXq5ZlqexqY5vLBjXJrjLe0ydH1nGyZOs3lezgIbcPAqHHQiUlYjN2dO1j8Sefcjgj2vM1XM3hCG816fLcjU4A4W30CBXr/ryFV5u+lt77uO3d9/Hjv+bPmdntBLYQ0dZaeCWf6jgwY5ryulF8XHC7Q3/enrL7zuZO273HMg95SOtEL5+VlDFsr0B21Y1B8qk+u9qgpiOKXTK7+gpcJ6HpBDWVMahUw2WDmqRVh1FMbE0yuzrW2KX1mMZdefk52T1VsrXrE0nOKn8oQiyUZVed95hR9YnF5z5HhjfE903mVAwCCG8x4pyXWXoJb88NX3mZdF/eZy2FV1/V67SvaZOV2I1s3cZO23/ArDMjQ6v2WjpmeMbUJLP7znudtqfdMjeaqZ5VLctU06puDHEZw47szG7aOUDlAZJdZXZda3YlybNnJtlEdWPQiWZOrcfOZYQnjE9kV9LqtLHtXK2vDpY4fSayN97qdJLkosRC2fnRoyI7cCjpjFHrWNz1F9Tw9uX7Fc8FgVoSQHhrSZtrZRHwEt6LnWyWddGQfl8r4VWbrNmzIpsyIYpLEFxlV1/x6yt3ya5+lNndszdbdpX1VBeHKy9vMgmzMrtbHWp2JbujR5nNn9NkytRKdlVD69KNQYdRXLOgyYa0WCy7klaXQyVU/nDN/CYbOdzs2PHkeGIXMRt07njisWOiuDzjtTc7nSS5SLHQ0c8HD5Xs7XfcS1H6MhZ0aQjp3ZK5FI0Awlu0iDf2fL2EN83wlp9E1tjT7fu7q4XwJjW7yaELJYts3Qa3zK7GTWhVf97I+vVLMrvq4nD2bDaH+NSueZG1tCRlDMrQunRjkCBde3Vklw2NbM++JEN7yqEMU9nkTyyKbOSIyI68n0iry3HBEvOF8yObOD6yD0+Yvfx6p504kT0/jdNX9cqYS3ZfXdPpVDZRtFgos6tT8Fw+sFQjFghv9lrmERBoVAIIb6NGppj35SW8QqZTy1a/tt4euOeOuM9t0X6qLbw6eEKtx/TVsmT37Q2dts+hjEFipkMl5l2ZyK42qO3clb1BTfFLMq2RtQyKbMfu5Ktslz67AweY3bAosmFDk5rddRvcJFmyu/i6yEYOj+zgkZK9/mbJTjtIsgRrwTzV7Jqd6Ijsj690Om2kS2t2VRpy+nRUkezWOhbqcKE5FjUWCG/R3lGZb0gEEN6Qopn/uXgLL5vWHPpreayTZ1Y2xyeoaQOVNqi5HG0r2T1/XLDFJQUufXZ1m0MGS1qbrGWgxbKrjV9ZNcIap9KJT36iyYYNMdu7v2Rr1pacMsmp7I4emXQAWP2q27hUdie1Rna8wyqSXXUcmDElslNnzF5b41bGkB7wUctYqJ550cIm0+fIosYC4fV482AoBOpMAOGtcwC4fDcCXsLLpjWzamd4//D7AVYqlUzttXbvdescoH65V89LjgvevDU5ojar40C57A4amBxg8fZGN9lVZnfx9U02dEgpzj6rHMGlbEIbv1T+MGZkZEeOusuu5FpdHNR67PiJkr26xq2+VHKtshDVM588XbI317l3cdCmv0R2axMLZdmvW9hkAwYkcS9qLBBe/mJBIL8EEN78xi7EO/cSXjatVV94f/di/zhD63qCmmR3gWQ30iYzM52E5iK7Eqw4myjZlWBtcJNd1ewuWhjZ8GGRtR9Iam9dZFfH/uqr+rjd1fsle+V1t3GSZJV3TJ4Y2YfHE2l12aCm44IlumrpdvJkydZtdDuMQpKcHMGcnGZXq1jEstu/ZDt2W/xhxyXLHmIsEN4Q/+wwp6IQQHiLEul8zNNLeNm0Vn3h/fHKZtu52z2zu2BuktndusPiE81cRCn+6vxqdVWoTHZ1IMHVVyWtx/YdcC9jUG9X1RaPOXeQgcofXGp21fVBGdpUdlUj7NJ6TF0Vpk05L7sb3nU7VEKy2yrZvTyRXW3cq1UsYtndY7Zxk1sMQ40FwpuPPyTcJQQuRADhZV00EgEv4dVE2LRW3RpebVrLytCmJ6F1ZXYrkF1tilIrMAlWJV+dKyM8ry2yEZclmV3t5HfJ7ErMdMhDfGrX4ZKt3eDWAUAZYR1tO3lCktndsMmtHCHtlztzWnKCmg6xOHAw+wOEyia06S+VXWXKd+zKHtdXsdC1XDO7IccC4W2kPxfcCwQqI4DwVsaLR1eXgJfwqqRh2X1P2NoNWy54l5y05h+87z/YfMknKd+gFqmMwVF208Mh5s+NrGVgZNt2lewdx6/OlRFWSy8dF9y+vxTXl7q0LBs21Ewntkl2Dx5OpNWlhVjLoOR0OWV2daiEpNXluOBUdlXKINl9d0spPqgj6wOEMruTJppdMTPJ7FYiu+lmQWLRfdn2NhYIr/97CM8AgXoRQHjrRZ7rXoiAl/CCtPolDZcS3rT12FVtSRnDlm3JBrWsMoY0Czn3iqTdlWRXrceyxine6s975exEdtV6TJLs0md32DCzy2ckZQySXV3vw+PZK6hcdj84lkjrocPZ41TGMFVlDOdk970tyYa6TNltMps8SXXCTXb2bGWyq4wwsfh4bHxicf9fc9Ja9mrnERBoTAIIb2PGpah3hfB6Rr7aXRouJryS1nFjzOa2RTZwQBSLrqQuS1rTzK4ytDoueOeeknOdqDK7ytCqhZhqdpVp7XCo6FAZw6wZkY0fm2xQk+x+cCwbvGp2p0+J4vpblTFIdg8eypZWlSNMnaRrNtmp0wkX13ZuyuyqjEGyq2y5Szu3IsRCHzziY61rHIs//wbCm/1K4REQaEwCCG9jxqWod+UlvJQ01CfDm2Z22y4/J7vbkkyki+yOGWWmPrRDh0S2Y1cikS6HSsSyOzOyUedkV+NcyhG6ye6R5HouG83U6mz6tMimTa5MdlWOICmbNT2qWHaV2W2bnZQx6D5dN6gpsxtyLOL66XMlJZV88OiLWHz6RocTSBr43Xvwss838N1xaxCoLgGEt7p8efbKCHgJ78Uupe4Njz39rH3ti//CZk2bWNkd5ezRtc7wSnbVOUCtuZTZlehuraCMQdKayq7GutTe9pRddSs47lCOMGRI0lUhzuxWILtqISZhVUaxEsHSYRSq9U1lVy3E2vdlZ4TFVCeoXXlOdpW5dm0DF3oslGVXdj7dLOiaZe+rWNz4mTM5e0fofrsIb67Dx817EkB4PQEyvE8JVEV4dYfq3rBtZ7t9e+mSPr3hRnuyWgqvvqpvHZd0K0hld/vO7O4IyrSNHZ2Mk+xu33DarYEAACAASURBVFWybduza28lLarZVXYvzexu3ppdeyuBVOeA6VMrl12d9CbRTWVX5Q8HD2dLqzLCGqM5qoxBHQ727c8ep/pSlTFIzM0i27Cp0+mAj6LEQjHUAR/aLKjSkFrH4s+/SUlDo73ncT8QcCWA8LqS4nG1IFA14dWRw4899aw9/J07beTwYbWYS12uUSvhlWDp631lIpubI9u8tTM+lCCrHEGyO7E1yXwOGhiZBHnbzpKdOnVpXJLd0aOSMgZJsmp2XWVXGWF9xa/+vDou+N3NbmUMkl2doCa51glq6uKgbgxZG82UhZxzeWSt4xPZXb+xZPsdWo+pc8DsmZFNajUrWWTrHY9uLlosJLv6AHHk/drH4oHvIbx1eWPjohDoAwIIbx9A5Cn6jADC64myFsKrjOmkCYl89u8f2btbOm3XbrMzGS6Qtixrmx1ZS0sUb8BykV0hUVcFHQ4xcnhke/Ylhy64lDEMGmimVmdqPXbgULKxzWWDmgRbh1hMHJ9kE3USmkvrMY2TXCsTqW4Rb63rdMpCio2+qp81LbKzJZ0s12ntDhnhosXi/Q9Ktv4dt57H1YgFbck836AYDoE6EkB46wifS3+MQNWE90crVsUXo6TBb9Xp4AnViUp2Vcbw3tbOuL7UpfZWGVrJoLoxxGUMO7Izu7pbZVrnzUlkV5ld1cK6bFBT7a2OC5bsqhvDhnfcjv2VKGnchFR2N5Ts/aPZ3DROXSOmTzb76Gxkb6ztdJJkSasy3jOmmkVRZOs2dsb9eV02/dU6FioNabuifrFYu94tO1+tWCC82a8DHgGBRiWA8DZqZIp5X17Ce6kuDbfevNgeuOcOaxk0IGiy1c7wPrWiOe57O6B/UsagzgFZmV0BHzUyKQ+IZXdnsrHNpV+u2k8p06o+u5JdfZXt0npMpRPXLjgvuxKl4yeyQ5/K7qTWyI4dL9kbb7lLsmR32jnZXVOB7CobPHO6KnYrk111Y6hlLNThQtny9OjmIsYC4c1+DfEICDQqAYS3USNTzPvyEt5iIus+62oL729/2z+WXZUUqI1YVs2u7k4bzRboBLWWpPWYxrpkhFXTet3C5LjgfQdLtm6DW0ZYsnvdNZGNGRnZkaOJtHaczF4daRnDhPFmJzoie/n1TqdMcpxNnBnZ9ClmZ85GJtl1qS9VZnfalPMb1CrJ7Krn8Zwrkw8etYjF4BYd+RzZZUMj23+ouLFAeLNfRzwCAo1KAOFt1MgU874QXs+4V1t4/+mlAbFgqRzh7Nnsm9VX4BIlnaC2Y3dyyIOLJKvLwfXXRjZ8WGT7D5ZszTo3SU5ld9zoRHZffr1kpx1ap6aZXW2ok+z+8ZXOzI10mr3GaaOZyhE++igpY3CVXW34Uzs3bVBTza5OXssqY9A11eHiqrnnZbcWsbhhUWTDhian2emDh8sHlhBjgfBmv+Z5BAQalQDC26iRKeZ9eQuvanXb9x+Oyxf0c/9jK+3536y2CeNH24pH76YPr+e6+of/2d/pUAldRrW3NyxqspaBFsuuNhu5CJ26DnzyE0122VCLs4mvvuEm1+WC9cGHZi+t7nSS8vIyhuMdVpHsqseuNpuprOONt9xrdnWohE5QU8eHtx27MaSlIdcsaLL+zRZ3qXA54KMvYjFsiNne/SVbs7bYsUB4Pd9AGA6BOhJAeOsIn0t/jICX8KY1vHcvXWLXL2yzV9ZstF8892Isv+s2bun6/yHX8VY7w/s3/6nZSVpT2R00MDk04e2NbrKrzO7i65ts6JCkx6qr7GqD2sKrIhs3JrKjx0r2x1fcxExyrdpi9XZV67FX17htiJNcq/ZW/XJPnynZuvUlO3Ao+xUtuZ44IZXdpCZ5997s9loqfxg5wuya+U3W3JwcM+xydHO57PrEQtlnlYa4ZPVDjgXCm73GeQQEGpUAwtuokSnmfXkL7/IfPmP3fOsrcSa3vDMDfXj7ZkF9/8HmzCfqJrt71WLLTXZVJ7poYVLG0H4gqb11ESz1vb1qTmTjx0SmtlWSVpcyBtUIq6Rg8sTkBLU317ltUJMk61CJVHbV/cGlz64kWfXBc65IjgtWtwnXE9TGjNaGsSbr30+t3Cw+atglW04sLrxcexsLhDfz5c8DINCwBBDehg1NIW/MS3h1hLBKGL582002e8YkW3bfE1ae7X18xSp7+pG7OHjCY2llCa9qdhctbLI4m1iB7KoDgLoxpB0AXL86b2lJWp3puOD3jybS6rJBTZIsYU1lV3WpRz/IBqNSgimT1DO3Kc7sqq+vywlqEiy1EFMZg2RXddDqcJF1iIUyu5LdBXObrF+/km3fZfHBGS6ySywuLru9jQUHT2S/RngEBBqVAMLbqJEp5n15Ca+QKZO79N7Hbe++Q/aNr94S991NSx1uWNhGH17PdXUp4VU3BknrkJbIdu4pOZcxSMzmtSXdGJTZfettt8zu4MFJhlayqw1qyiS7tB4bNCg51njyhCSzqxPUtNEs60df1U+Oj/1tik9QU5a1fV+2tPaUXdXd7tiVPa5Lduc1WVNUik+yc5Xd0GOh7LwOP6l1LP7DtzhpLet1wu8h0KgEEN5GjUwx78tbeIuJ7fysq13DezHhVZ/dq9oiGzw4sl173Deo6djfOVckfXbb9yeS7NIBYMiQJEPbOi6yw0eSWthjH2ZHX319dciDMrs6QU0ZWpcT1JTZ1UazVLBUP7vXQXbjmt1WZaGTzG4lsjt2TJLZjaKkZnfLNrfMbuixkOyqpGRGfJpdKa5lrlUsbvyMQ8uP7GVYt0cMXvb5ul2bC0Og3gQQ3npHgOuXE0B4PddDrYVXWUgJlqRVh0oos7txk5uYKQupgxMku2p39c67bodRqPxBnRGU2dUJamp15nJccLnsfnAsydAeOpwNPK7ZPVfGUIlgxcf+TkzKGM6erUx2dajEVW1N1tRUsi3bzLZsz2ZahFgM6G82dUrlsttXsfjUp89kL5gGfgTC28DB4daqTgDhrTpiLlABAYS3AlgXemgthVdf1eu4YB26MHRIcqiEJDKrz26/JrMRI8zU0iuVXY07mXE4hKRF5Q/qjhDL7pHkelm1txqnzVvKCiqzW4nsSpIntEbxvVYiuyp/UJ1o2+wks6v7dKnZlVyPGytJjqy5OYqzl5LdrFrfosRC8VOG/kSHPgi4ZXb7Mha3/1uE1/MtiuEQqBsBhLdu6LnwBQggvJ7LolbCK8HSV/X6WnmQDpXYlWQws8oRJLsSOkmLJFmZXW3gyjouOG3LJfEcOcJddoVz2NBEyseMPi+7KmPIkkjJro4LVtmEZFddFVxqdpWFVAZ6yqQoll2VTbh0Y1DZxLSpyfHE/fpFsSTrUIms+yxaLDpOJrHYfyA7hn0dCzateb5BMRwCdSSA8NYRPpf+GAGE13NR1EJ4JZ/jx5pdMTs5QW3bzpJt2+5WjqCMsMoYLhuW1PoqS3eiI3vSKmNQN4axYyI7cNAts6tnVV/ftisim9SabGyTKLmUMaj2VmUa06dEdrwjqRF26cYgNrNmSLCb4kz3hk2dzn12k5PXVLNrtmlzp23fmS10RYuF6q43vleyAwfd2PR1LGhLlv1a5REQaFQCCG+jRqaY94Xwesa92sJ7/0PNcZustIxhu2R3Z8npGF7V7KqrgsoY9rQnX9WfOJE9YbUekySrjOGQyhg2Z5cx6FlVHiBJ1qESsSi967ZBTbIrmZ8+OTJlEzXOpc+u5FPlFrOmm8la1zueoJbWl86eHln//lEsu7t2m53tvDSbtItDLWOhDx46SrlesVi/qWQHD7nJbjVigfBmv155BAQalQDC26iRKeZ9Ibyeca+28P6X/9ocf82vcoRKZFfdGCSf6rOrMgYdi+uS2VW/XJ2EphPUVLOr8gCXDWqSVh1GMbE1kV0da+zSekzjrrz8nOyeKtna9YkkZ5UVSD5VpjFjmllkUXxccPt+t3Ha2JbK7jubO233Hss8cCOWXdVP1zAWagOnrPeYUcWNBcLr+QbFcAjUkQDCW0f4XJqShr5eA9UW3l//un/cjWH7rqS+9NSp7Bloo5mkVbKrzK5Lza6eVZuNFsyLbOzopBuDTjRzaT0madW4CeMT2ZW0Zm1s0/U0TlKu0oLTZyJ7461OJ0nukt2pSuxGtm5jZ1xfmnU4RJzZjXvJJpndd97rtD3tlrnpT/eq0hDda61iod7F8+dENlqyW+BYILzZr3ceAYFGJYDwNmpkinlfZHg9415t4f2nlwbEmd2tjjW7+gp8/tzzsqsa2qxuDEKgXqtXl8mupNXlUIlUdlWze+x4cjyxqySr1nfqxER2X3uz00mS0zKGmdOTzG4lsqtNfyrxUDcGZXb37HWTXbWB0weIWHZrFIuF8yMbPTKyg4eSbHlRY4Hwer5BMRwCdSSA8NYRPpcmw9vXa6DawvvzZ/vHGdqsbgya1+AWs2sWRHbZ0Mj27k8ytKcc+var68D110Y2ekSy0UzS6nJcsGRXJ71NGG92oiOyl1/vdKoR7srsTkpk99U1nU5lE5LdaVOSDK10txLZ1T2qdKK537maXYcyBjFVHfSCuZG1tCSdMWoVi1EjIjt4ODkFz+UDS6ixQHj7+h2L54NA7QggvLVjzZWyCZDhzWZ0yUdUW3gf/GGz01fu6o5ww6LIhkl295Vs3QY3SZbsLr4uspHDI3v/g5K9/HrJTjtIcprZVdZUsvvHVzqdyi3Sml21Ajt9ujLZTboqRFZSze6GTtvnWMagQyXmXRnFrce0QW3nruwNagq6SkP0AUKdMXbsTg7cyOp5rHF9EYuDR0r2+pvEAuH1fINiOATqSADhrSN8Lk2Gt6/XQLWF92JHC5fPQ90RPvmJJhs2xOLM7pq1pcxNWBqfyq6+Olc3htWvuo0rL2M43mEVya66McyYEtmpM2avrXEvY9AxwzpBTZvZtEHN5WhbZYTT44I1V5V3uPTZFRtt+rv26iZrGWix7KqsIKtGWOOIxYVfYb2NBcLb1+9YPB8EakcA4a0da66UTYAMbzajumZ4s4RX2cTF1zfZ0CGlOOOpcoSzZ7MnpZrda6+ObMzIpIzBVXYldKpnVeux4ydK9uoat1ZnEk6VIujgjJOnS/bmOvcuDhMnpLKbtCzbvdetG4PauV09LzkuePPW5LjgrO4PaWb3uoVNNnBgcoDF2xvdZJdYXFx2exsLhDf7tcwjINCoBBDeRo1MMe8L4fWMez0zvKrZXbQwsuHDIms/kNTeusiuOgCoq0Lc7ur9kr3yuts4SbJKCnTc7IfHE2l12aCm7g8SXbURO3myZOs2uh1GIUlW7e2cK5LjgpWhdTlBLe2Xu0CyG2nDn8Wn0lUiuwP6l2z3PrO3N7jJLrG4tOz2Nhb/8a6PPF+h9R0+eNnn63sDXB0CdSSA8NYRPpf+GIGghPfI0WO2/IfP2D3f+orNmjaxa7IdJ0/b/Y+ttOd/szr+t4fuvcO+eMuNXb/XuGX3PWFrN2yJ/+2nT95n1y9s6/r9r174vX3v0ZXxf99682J74J47rGXQgPi/6yW86sagDWNqPbbvgHsZg3q7qp5Vx/6qjEHlDy41u+rPqwxtKruqEXZpPaajZqdNOS+7G951O8hAstsq2b08kV1tFtu52z2zu2BuktndusPi0+VcyhFUxrDo6iaT7O7YY7Zxk9u40GOhrL6y7FfMrH0sbvqsQ0F5A7+xI7wNHBxureoEEN6qI+YCFRAIQnjLhXbC+NG24tG7uwnvj1asipF8e+kSS+X27qVLYqlNxy5eNDeW4M3b99h3H37GfrD8zvg5Xlmz0R5fscqefuQuGzl8mJU/V72EV5up5rVFNuKyJLOrnfwumV2JmToVqM/uocMlW7vBrQOAMsIzp0c2eUKS2d2wya0cQRnhqZMjmzktOUFNh1i4HFHbU3aVnd2xqwLZTTO7FcjuyBHaoHZOdndZXDrhIsmhxyKW3VadvNdkZ8+W4kx5LWPxJ588U8HbWeM9FOFtvJhwR7UjgPDWjjVXyiYQhPCm07xQhvdC/1YurRLcx5561h7+zp2x0PYUYD12+pTWroxwTwGuZYZXm8UkWDoAQccFt+8vxfWlWS3LNC49olayq3ZXktasY4ZVGqCv6pWhVWZXh0pIWnUSWtaPJFljVMog2X13Syk+HCKrrECSPG6M5phkE10Fq7mf2ahRaiHWZJHKGBxlV3It2dUpcS0DI9u2q2TvOMhuUWKhLPuVs5rszBkxdZPdvozFV/8M4c16rfF7CDQqAYS3USNTzPsKXnh7ZmwVZpUorH5tfVyasG7jlm4ZXP0+FeJlt38hLoVIs7/6Xc/nq5XwSrAkgsq0pq3HJGZZfXY1TgcnKMsqSZbsqr3Wh8cvveAlu8OGJuPGjY3sg2OJtB46nP1CGTI4OfZXJ69Jdt/bkmyoy5JdbfrSuCmTooqyicpCTp0UxWxUxrBlW7JBLStDK9nVyWsaN2hAIrtikzWuaLGQ7L63rRQfwZwVw76Oxd/8NTW82a84HgGBxiSA8DZmXIp6V4UQ3vIM7oWE9xfPvditLren8H75tpu6anp7Cu+xE9XNQN21PFma2uWuzO7QIZHt3pvIp8uBBDo44crZkekgA9X6apzLRjNldi+fFdnE1siOvO8uu9qgdvnMyKZPieyDD91lV4I9e6bGNtmpU8n1XGt21Z9XG9skY5Jrl24Mup6+qlcmWZKmdmW6ZpbsFi0WHR0JF9fOGH0diycezvdb89mvfzbfE+DuIeBBoN9P/5/H6Oyhwwb3z34Qj4DAOQKFEN7ymty+zvAe66huBuqu+0pxT1hJ5KiR56U1qxxB81QZw6wZkY0fG9nhI4m4uGw0U6Z1+rTIpk1OanY17uCh7OyeMqYqf5g1PbJTpxPZde2Xqz67bbPPlzFs35l9PUmrDpXQB4GBA6J4c5pKILKkNe7iMMpMPYH1AUInqGmOLodK1DoWKg0R03rFopIPHtWIxROP6FS9/P6cvf2m/N48dw4BTwL9/v5Fz2e49PBhLc1VfX6ePCwCwQtv3mt4H3+yuZvsqlvB8YxyBC3RIUOSrgqVyq4ytBJWbTarRHb1Nb/KEVLZVQux9n1u0qqsoDZFqWZXNcKurcdUX6o2aZJdie5WhzKGtGWZPkCksquxWXXQYtpTdqsdC3XG0AeWdLOg6wePkGJBH96w/uAwm2IRoKShWPFu9NkGL7wKQJ67NPzDz/rFX7mfPmPW0eF2JG6/JrOWFjO1BFPW8kSH2UcOh1HEm9QGmUm0znaadZwwO/ORWSljFSsH1zLITNlIlRUc17gzbuMGDUzuVT8apxZpLtfT5jZdU3LXcdLi8g6XcRJ6jVM2+uSpZFxn1kCdoNYv2cBXq1g0RQkXZduLHIt/t9Rh4TbwuyxdGho4ONxa1QkgvFVHzAUqIBCE8Pbss6v5l/fLDbEPbwUx5qEQyC0BMry5DR03DgFDeFkEjUQgCOGtJ9BadWmo5xy5NgTqRQDhrRd5rgsBfwIIrz9DnqHvCCC8niwRXk+ADIfAJQggvCwPCOSXAMKb39iFeOcIr2dUEV5PgAyHAMLLGoBAkAQQ3iDDmttJIbyeoUN4PQEyHAIIL2sAAkESQHiDDGtuJ4XweoYO4fUEyHAIILysAQgESQDhDTKsuZ0UwusZOoTXEyDDIYDwsgYgECQBhDfIsOZ2UgivZ+gQXk+ADIcAwssagECQBBDeIMOa20khvJ6hQ3g9ATIcAggvawACQRJAeIMMa24nhfB6hg7h9QTIcAggvKwBCARJAOENMqy5nRTC6xk6hNcTIMMhgPCyBiAQJAGEN8iw5nZSCK9n6BBeT4AMhwDCyxqAQJAEEN4gw5rbSSG8nqFDeD0BMhwCCC9rAAJBEkB4gwxrbieF8HqGDuH1BMhwCCC8rAEIBEkA4Q0yrLmdFMLrGTqE1xMgwyGA8LIGIBAkAYQ3yLDmdlIIr2foEF5PgAyHAMLLGoBAkAQQ3iDDmttJIbyeoUN4PQEyHAIIL2sAAkESQHiDDGtuJ4XweoYO4fUEyHAIILysAQgESQDhDTKsuZ0UwusZOoTXEyDDIYDwsgYgECQBhDfIsOZ2UgivZ+gQXk+ADIcAwssagECQBBDeIMOa20khvJ6hQ3g9ATIcAggvawACQRJAeIMMa24nhfB6hg7h9QTIcAggvKwBCARJAOENMqy5nRTC6xk6hNcTIMMhgPCyBiAQJAGEN8iw5nZSCK9n6BBeT4AMhwDCyxqAQJAEEN4gw5rbSSG8nqFDeD0BMhwCCC9rAAJBEkB4gwxrbieF8HqGDuH1BMhwCCC8rAEIBEkA4Q0yrLmdFMLrGTqE1xMgwyGA8LIGIBAkAYQ3yLDmdlIIr2foEF5PgAyHAMLLGoBAkAQQ3iDDmttJIbyeoUN4PQEyHAIIL2sAAkESQHiDDGtuJ4XweoYO4fUEyHAIILysAQgESQDhDTKsuZ0UwusZOoTXEyDDIYDwsgYgECQBhDfIsOZ2UgivZ+gQXk+ADIcAwssagECQBBDeIMOa20khvJ6hQ3g9ATIcAggvawACQRJAeIMMa24nhfB6hg7h9QTIcAggvKwBCARJAOENMqy5nRTC6xk6hNcTIMMhgPCyBiAQJAGEN8iw5nZSCK9n6BBeT4AMhwDCyxqAQJAEEN4gw5rbSSG8nqFDeD0BMhwCCC9rAAJBEkB4gwxrbieF8HqGDuH1BMhwCCC8rAEIBEkA4Q0yrLmdFMLrGTqE1xMgwyGA8LIGIBAkAYQ3yLDmdlIIr2foEF5PgAyHAMLLGoBAkAQQ3iDDmttJIbyeoUN4PQEyHAIIL2sAAkESQHiDDGtuJ4XweoYO4fUEyHAIILysAQgESQDhDTKsuZ0UwusZOoTXEyDDIYDwsgYgECQBhDfIsOZ2UgivZ+gQXk+ADIcAwssagECQBBDeIMOa20khvJ6hQ3g9ATIcAggvawACQRJAeIMMa24nVQjh/dULv7fvPbqyW5C+8dVb7NtLl8T/duToMVt23xO2dsOW+L9/+uR9dv3Ctq7Hl4+/9ebF9sA9d1jLoAHx7xHe3K59bjwHBB78/kc5uMuL3+LgZZ/P9f1z8xDwIYDw+tBjbF8TKIzwrn5tfTdRTUF2nDxt9z+20hYvmmtfvOVG27x9j3334WfsB8vvtFnTJtorazba4ytW2dOP3GUjhw+zH61YFQ9NZRnh7eslyfNB4DwBhJfVAIH8EkB48xu7EO+88MIrwX3sqWft4e/cGQttTwGW4E6f0hrLsH56CjDCG+LLgjk1CgGEt1EiwX1AoHICCG/lzBhRPQKFEd7ykobycoaeAivUaRZ32e1f6Jb91e96ZoAR3uotTp4ZAggvawAC+SWA8OY3diHeeSGEtzxwab3ukttuirO2Et5fPPdit3KHnsL75dtu6qrp7Sm81V4U3/zLM9W+BM8PgYYl8OO/7d+w9+ZyY+8v+ZTLw3gMBIIkMGLVS0HOi0nlk0DhhFdh0ia0bTvb4zpcMrz5XLjcdTEIkOEtRpyZZZgEyPCGGde8zqrwwksNb16XLvddBAIIbxGizBxDJYDwhhrZfM4reOHVJrRfPv87+9Ktn4lbiaUlDXcvXRKXKdClIZ8Ll7suBgGEtxhxZpZhEkB4w4xrXmcVvPAqMKrJ/cnPX+iK0UP33tHVdUH/SB/evC5f7jt0Aghv6BFmfiETQHhDjm7+5lYI4a1mWOjSUE26PHfRCSC8RV8BzD/PBBDePEcvvHtHeD1jivB6AmQ4BC5BAOFleUAgvwQQ3vzGLsQ7R3g9o4rwegJkOAQQXtYABIIkgPAGGdbcTgrh9QwdwusJkOEQQHhZAxAIkgDCG2RYczsphNczdAivJ0CGQwDhZQ1AIEgCCG+QYc3tpBBez9AhvJ4AGQ4BhJc1AIEgCSC8QYY1t5NCeD1Dh/B6AmQ4BBBe1gAEgiSA8AYZ1txOCuH1DB3C6wmQ4RBAeFkDEAiSAMIbZFhzOymE1zN0CK8nQIZDAOFlDUAgSAIIb5Bhze2kEF7P0CG8ngAZDgGElzUAgSAJILxBhjW3k0J4PUOH8HoCZDgEEF7WAASCJIDwBhnW3E4K4fUMHcLrCZDhEEB4WQMQCJIAwhtkWHM7KYTXM3QIrydAhkMA4WUNQCBIAghvkGHN7aQQXs/QIbyeABkOAYSXNQCBIAkgvEGGNbeTQng9Q4fwegJkOAQQXtYABIIkgPAGGdbcTgrh9QwdwusJkOEQQHhZAxAIkgDCG2RYczsphNczdAivJ0CGQwDhZQ1AIEgCCG+QYc3tpBBez9AhvJ4AGQ4BhJc1AIEgCSC8QYY1t5NCeD1Dh/B6AmQ4BBBe1gAEgiSA8AYZ1txOCuH1DB3C6wmQ4RBAeFkDEAiSAMIbZFhzOymE1zN0CK8nQIZDAOFlDUAgSAIIb5Bhze2kEF7P0CG8ngAZDgGElzUAgSAJILxBhjW3k0J4PUOH8HoCZDgEEF7WAASCJIDwBhnW3E4K4fUMHcLrCZDhEEB4WQMQCJIAwhtkWHM7KYTXM3QIrydAhkMA4WUNQCBIAghvkGHN7aQQXs/QIbyeABkOAYSXNQCBIAkgvEGGNbeTQng9Q4fwegJkOAQQXtYABIIkgPAGGdbcTgrh9QwdwusJkOEQQHhZAxAIkgDCG2RYczsphNczdAivJ0CGQwDhZQ1AIEgCCG+QYc3tpBBez9AhvJ4AGQ4BhJc1AIEgCSC8QYY1t5NCeD1Dh/B6AmQ4BBBe1gAEgiSA8AYZ1txOCuH1DB3C6wmQ4RBAeFkDEAiSAMIbZFhzOymE1zN0CK8nQIZDAOFlDUAgSAIIb5Bhze2kEF7P0CG8ngAZDgGElzUAgSAJILxBhjW3k0J4PUOH8HoCZDgEEF7WAASCJIDwBhnW3E4K4fUMHcLrCZDhEEB4WQMQCJIAwhtkWHM7KYTXM3QIrydAhkMA4WUNQCBIAghvkGHN7aQQXs/QIbyeABkOAYSXPmgy4QAADBJJREFUNQCBIAkgvEGGNbeTQng9Q4fwegJkOAQQXtYABIIkgPAGGdbcTgrh9QwdwusJkOEQQHhZAxAIkgDCG2RYczsphNczdAivJ0CGQwDhZQ1AIEgCCG+QYc3tpBBez9AhvJ4AGQ4BhJc1AIEgCSC8QYY1t5NCeD1Dh/B6AmQ4BBBe1gAEgiSA8AYZ1txOCuF1CN2vXvi9fe/RlfEjb715sT1wzx3WMmhA/N8IrwNAHgKBXhJ48Psf9XJkYwwbvOzzjXEj3AUE6kAA4a0DdC55UQIIb8bieGXNRnt8xSp7+pG7bOTwYfajFaviEd9eugTh5YUFgSoTQHirDJinh0AVCSC8VYTLU1dMAOHNQCbBnT6l1b54y43xI3sKMBneitccAyDgTADhdUbFAyHQcAQQ3oYLSaFvCOG9RPg7Tp62+x9baYsXze0S3s3b99h3H37GfrD8Tps1bSIlDYV++TD5ahNAeKtNmOeHQPUIILzVY8szV04A4XUQ3i/fdpNdv7AtfmRP4a0ceWUjvvmXZyobwKMhEBCBH/9t/1zP5v0ln8r1/XPzEPAhMGLVSz7DGQuBPiWA8DoI76UyvH0aDZ4MAhCAAAQgAAEIQKDPCSC8GUizanj7PCI8IQQgAAEIQAACEIBAnxJAeDNwZnVp6NNo8GQQgAAEIAABCEAAAn1OAOF1QHqpPrwOw3lIQQjUur67IFiZJgT6jEDPtpJ99sQ8EQQg0PAEEN6GDxE36EpA2fiv/9Uj3R4+YfxoW/Ho3XFHjWr/ILzVJszzF5VA2jFnx579XT3RxeLI0WO27L4nYixpr/RLMUJ4i7qCmDcEzBBeVkEwBHqWn9R6YghvrYlzvaIQSIX36LHj9qc3Xd/VJlLfvv36xVdM/47wFmU1ME8I9I4Awts7boxqQAKXEt70D+bzv1kd3/lD997R9UdTWZ/2/YdN2aO1G7aYssJPPvjv7X+s+rXp8T2zxOUlLnqunz55X9y27kLCW551nj9nptMf5QZEyy1BoK4E0tfvzZ++1n7zh9dt+V98Lb6fh//zz0z/9nf/+H+6Xlt6HS6993Hbu+9Q/JhvfPWWrpMxe2Z40wyxXvflr+W6TpaLQwACVSGA8FYFK09aDwIXE970j2XruFHxHz79kVv+w2fsnm99JS510B/Bl9ds7HZ89Au//eeuUojyP5J6rl8+/zv70q2fsZZBA0zyu+q5F+Oxh98/1u1QEt3P8oef6XoePXbbzvauP771YMQ1IZBHAulrWD3Rd+7ZH09hysRx8f/X/5Yf//7rF1+22TMmx6/tVH4fXn5n/KG0/LWcyu6S226KP/zqsY899aw9/J0742Pk+YEABMIigPCGFc9Cz+ZCNbzK5F49b3Y3ERWk8nZzPbM+EtPVr623B+65o0tqy/+7HHJ5Vlf/Xn4KX8/n5Q9qoZcnk/cgUC68s2dMij+wXjZ0cJzpfW/r7m7CW36Znqdllr8me35ALr9GetCQxy0zFAIQaDACCG+DBYTb6T2Bi2V4e37FmV4hLWuoVHh7Pl9a8nAh4f3Jz1/oNiHKGnofX0YWl0BPGS3/wHoxcU3Ll0TtQq/1C31A1mPTEqXi0mbmEAiTAMIbZlwLOatLCe+lvqqsRHj37DsY1wemX5FmZXinT2ntqhUuZFCYNAT6gMClsq/lr/tBAwfa/Y+ttLR8KSvD+4vnXuz6JqcPbpOngAAEGpgAwtvAweHWKiPgWsOrZ5Wovrd1l/3pTTd0q+vT7y5V0iDhLS9bKK/T7Znh7VnDq9//7Ff/1265eTE1gpWFlkcXnEClwpseB9+zTvdSNbxCrNesfihpKPiCY/pBEkB4gwxrMSdVSZeG8s4LlWR4tVFNj09LFea3zYhh/2D5nfH/lstw+ge0vDdw+Y7xYkaJWUOgcgKuwqvNZuWlCnqdjxl5mS35V5+Nv2nJ6tJAyVHlsWEEBPJCAOHNS6S4TwhAAAIQgAAEIACBXhFAeHuFjUEQgAAEIAABCEAAAnkhgPDmJVLcJwQgAAEIQAACEIBArwggvL3CxiAIQAACEIAABCAAgbwQQHjzEinuEwIQgAAEIAABCECgVwQQ3l5hYxAEIAABCEAAAhCAQF4IILx5iRT3CQEIQAACEIAABCDQKwIIb6+wMQgCEIAABCAAAQhAIC8EEN68RIr7hAAEIAABCEAAAhDoFQGEt1fYGAQBCEAAAhCAAAQgkBcCCG9eIsV9QgACEIAABCAAAQj0igDC2ytsDIIABCAAAQhAAAIQyAsBhDcvkeI+IQABCEAAAhCAAAR6RQDh7RU2BkEAAhCAAAQgAAEI5IUAwpuXSHGfEIAABCAAAQhAAAK9IoDw9gobgyAAAQhAAAIQgAAE8kIA4c1LpLhPCEAAAhCAAAQgAIFeEUB4e4WNQRCAAAQgAAEIQAACeSGA8OYlUtwnBCAAAQhAAAIQgECvCCC8vcLGIAhAAAIQgAAEIACBvBBAePMSKe4TAhBwIrB5+x5beu/jtnffofjxE8aPthWP3m2zpk2M/7vn77/x1Vvs20uXxL/71Qu/t+89utJ++uR9dv3Ctm6P/9bt/9q+eMuNTvfAgyAAAQhAoLEIILyNFQ/uBgIQ8CBw5OgxW3bfE3b30iVdwvrKmo22c8/+WFYlu999+Bn7wfI7YwHuOHna7n9spbWOG9VNelc996I9/chdNmjgwPj3ixfNRXY94sJQCEAAAvUmgPDWOwJcHwIQ6DMCPYW25xP/aMUqmz6ltZu8SogfX7EqFtyRw4d1k2A9dvVr6+2Be+6wlkED+uw+eSIIQAACEKgtAYS3try5GgQgUEUCacb2+d+sjq/y0L13dMltz9+V38b8OTO7hFf/npY9jBk1vNu/V/HWeWoIQAACEKgiAYS3inB5aghAoD4ELiS+//Jzi53LE1Lh1d2X1//WZzZcFQIQgAAEfAkgvL4EGQ8BCDQ0AZUx6Ecb08r//8VuOpVl1e1u29lu7fsPU9LQ0BHm5iAAAQhkE0B4sxnxCAhAICcEVI/7h39+q2sDWrm8atOafv/1v3qkW6mDNrr93bP/25bd/oW4TldSnEruyVOn4k1wNyxs63rOnKDgNiEAAQhAoIwAwstygAAEgiGQdmlYu2FL15zK247pH3u2JdO/pbW+akv21N//r25lDBeS5GCAMREIQAACBSGA8BYk0EwTAhCAAAQgAAEIFJUAwlvUyDNvCEAAAhCAAAQgUBACCG9BAs00IQABCEAAAhCAQFEJILxFjTzzhgAEIAABCEAAAgUhgPAWJNBMEwIQgAAEIAABCBSVAMJb1MgzbwhAAAIQgAAEIFAQAghvQQLNNCEAAQhAAAIQgEBRCSC8RY0884YABCAAAQhAAAIFIYDwFiTQTBMCEIAABCAAAQgUlQDCW9TIM28IQAACEIAABCBQEAIIb0ECzTQhAAEIQAACEIBAUQkgvEWNPPOGAAQgAAEIQAACBSGA8BYk0EwTAhCAAAQgAAEIFJUAwlvUyDNvCEAAAhCAAAQgUBACCG9BAs00IQABCEAAAhCAQFEJILxFjTzzhgAEIAABCEAAAgUhgPAWJNBMEwIQgAAEIAABCBSVAMJb1MgzbwhAAAIQgAAEIFAQAghvQQLNNCEAAQhAAAIQgEBRCSC8RY0884YABCAAAQhAAAIFIYDwFiTQTBMCEIAABCAAAQgUlQDCW9TIM28IQAACEIAABCBQEAIIb0ECzTQhAAEIQAACEIBAUQkgvEWNPPOGAAQgAAEIQAACBSGA8BYk0EwTAhCAAAQgAAEIFJUAwlvUyDNvCEAAAhCAAAQgUBACCG9BAs00IQABCEAAAhCAQFEJILxFjTzzhgAEIAABCEAAAgUhgPAWJNBMEwIQgAAEIAABCBSVAMJb1MgzbwhAAAIQgAAEIFAQAghvQQLNNCEAAQhAAAIQgEBRCSC8RY0884YABCAAAQhAAAIFIYDwFiTQTBMCEIAABCAAAQgUlQDCW9TIM28IQAACEIAABCBQEAIIb0ECzTQhAAEIQAACEIBAUQkgvEWNPPOGAAQgAAEIQAACBSGA8BYk0EwTAhCAAAQgAAEIFJUAwlvUyDNvCEAAAhCAAAQgUBACCG9BAs00IQABCEAAAhCAQFEJ/H+4L+BZfwjLpwAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "\n",
    "df = px.data.tips()\n",
    "fig = px.histogram(df, x=\"sex\", y=\"total_bill\", color=\"sex\", pattern_shape=\"smoker\")\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "necessary-oliver",
   "metadata": {},
   "source": [
    "### Visualizing the distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "crude-diamond",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df = px.data.tips()\n",
    "fig = px.histogram(df, x=\"total_bill\", color=\"sex\", marginal=\"rug\", # can be `box`, `violin`\n",
    "                         hover_data=df.columns)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "critical-talent",
   "metadata": {},
   "source": [
    "### Horizontal Histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "sweet-workshop",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "y = np.random.randn(500)\n",
    "# Use `y` argument instead of `x` for horizontal histogram\n",
    "\n",
    "fig = go.Figure(data=[go.Histogram(y=y)])\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "structured-representative",
   "metadata": {},
   "source": [
    "### Overlaid Histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "backed-signal",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "x0 = np.random.randn(500)\n",
    "# Add 1 to shift the mean of the Gaussian distribution\n",
    "x1 = np.random.randn(500) + 1\n",
    "\n",
    "fig = go.Figure()\n",
    "fig.add_trace(go.Histogram(x=x0))\n",
    "fig.add_trace(go.Histogram(x=x1))\n",
    "\n",
    "# Overlay both histograms\n",
    "fig.update_layout(barmode='overlay')\n",
    "# Reduce opacity to see both histograms\n",
    "fig.update_traces(opacity=0.75)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "former-winner",
   "metadata": {},
   "source": [
    "### Cumulative Histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "concrete-civilization",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "x = np.random.randn(500)\n",
    "fig = go.Figure(data=[go.Histogram(x=x, cumulative_enabled=True)])\n",
    "\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "acquired-objective",
   "metadata": {},
   "source": [
    "### Custom Binning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "intellectual-chemical",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "from plotly.subplots import make_subplots\n",
    "\n",
    "x = ['1970-01-01', '1970-01-01', '1970-02-01', '1970-04-01', '1970-01-02',\n",
    "     '1972-01-31', '1970-02-13', '1971-04-19']\n",
    "\n",
    "fig = make_subplots(rows=3, cols=2)\n",
    "\n",
    "trace0 = go.Histogram(x=x, nbinsx=4)\n",
    "trace1 = go.Histogram(x=x, nbinsx = 8)\n",
    "trace2 = go.Histogram(x=x, nbinsx=10)\n",
    "trace3 = go.Histogram(x=x,\n",
    "                      xbins=dict(\n",
    "                      start='1969-11-15',\n",
    "                      end='1972-03-31',\n",
    "                      size='M18'), # M18 stands for 18 months\n",
    "                      autobinx=False\n",
    "                     )\n",
    "trace4 = go.Histogram(x=x,\n",
    "                      xbins=dict(\n",
    "                      start='1969-11-15',\n",
    "                      end='1972-03-31',\n",
    "                      size='M4'), # 4 months bin size\n",
    "                      autobinx=False\n",
    "                      )\n",
    "trace5 = go.Histogram(x=x,\n",
    "                      xbins=dict(\n",
    "                      start='1969-11-15',\n",
    "                      end='1972-03-31',\n",
    "                      size= 'M2'), # 2 months\n",
    "                      autobinx = False\n",
    "                      )\n",
    "\n",
    "fig.append_trace(trace0, 1, 1)\n",
    "fig.append_trace(trace1, 1, 2)\n",
    "fig.append_trace(trace2, 2, 1)\n",
    "fig.append_trace(trace3, 2, 2)\n",
    "fig.append_trace(trace4, 3, 1)\n",
    "fig.append_trace(trace5, 3, 2)\n",
    "\n",
    "fig.show(renderer=\"png\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
